|
Birman, M. Sh. Some estimates for the method of
steepest descent. (Russian) Uspehi Mat. Nauk (N.S.) 5,
no. 3(37) (1950), 152-155.
MR 12,32d.
English translation in:
NBS Rep. 2007. Four articles on
numerical matrix methods, pp. 51-56. U. S. Department of Commerce,
National Bureau of Standards, Washington, D. C., 1952.
MR 14,412d
Russian: ( pdf| djvu)
Birman, M. Sh.
On computation of eigenvalues by the
method of steepest descent. (Russian)
Zapiski Len. Gornogo in-ta, 27, no. 1 (1952), 209-216.
Russian: ( pdf| djvu)
Birman, M. Sh.
On a variant of the method of successive approximations.
(Russian)
Vestnik Leningrad. Univ. 9 (1952), 69-76.
Russian: ( pdf| djvu)
Birman, M. Sh. On the theory of self-adjoint
extensions of positive definite operators. (Russian) Dokl.
Akad. Nauk SSSR (N.S.) 91, no. 2 (1953), 189-191.
MR 15,326f
Russian: ( pdf| djvu)
Birman, M. Sh. On the theory of general boundary
problems for elliptic differential equations. (Russian) Dokl.
Akad. Nauk SSSR (N.S.) 92, no. 2 (1953), 205-208.
MR 16,42e
Russian: ( pdf| djvu)
Birman, M. Sh. On minimal functionals for elliptic
differential equations of second order. (Russian) Dokl. Akad. Nauk
SSSR (N.S.) 93, no. 6 (1953), 953-956.
MR 16,42f
Russian: ( pdf| djvu)
Birman, M. Sh. On the spectrum of singular boundary
problems for elliptic differential equations. (Russian) Dokl.
Akad. Nauk SSSR (N.S.) 97, no. 1 (1954), 5-7.
MR 16,258e
Russian: ( pdf| djvu)
Birman, M. Sh. On Trefftz's variational method for the
equation  . (Russian) Dokl. Akad. Nauk SSSR (N.S.)
101, no. 2 (1955), 201-204.
MR 17,41e
Russian: ( pdf| djvu)
Birman, M. Sh.
On the Friedrichs extension procedure
of a positive
operator to the selfadjoint one. (Russian)
Zapiski Len. Gornogo in-ta 33, no. 3 (1956), 132-136.
Russian: ( pdf| djvu)
Birman, M. Sh. On the theory of self-adjoint
extensions of positive definite operators. (Russian)
Mat. Sb. (N.S.) 38(80), no. 4 (1956), 431-450.
MR 18,220d
Russian: ( pdf| djvu)
Birman, M. Sh. Variational methods of solution of
boundary problems analogous to the method of Trefftz. (Russian)
Vestnik Leningrad. Univ. 13, no. 3 (1956), 69-89.
MR 18,316f
Russian: ( pdf| djvu)
Birman, M. Sh.
Method of quadratic forms in problems
with small parameter at the highest derivatives. (Russian) Vestnik
Leningrad. Univ.
13, no. 3 (1957), 9-12.
MR 21#209
Russian: ( pdf| djvu)
Birman, M. Sh.
A characterization of elliptic differential operators
with maximal domain. (Russian) Vestnik Leningrad.
Univ. 19, no. 4 (1957), 177-183.
Russian: ( pdf| djvu)
Birman, M. Sh.
On multi-dimensional boundary value problems with a small parameter
at higher derivatives. (Russian)
Uspehi Mat. Nauk (N.S.), 12, no. 6 (1957), 212-213.
Russian: ( pdf| djvu)
Birman, M. Sh.
Perturbations of quadratic forms and
the spectrum of singular boundary value problems. (Russian)
Dokl. Akad. Nauk SSSR 125, no. 3 (1959), 471-474.
MR 21#6538
Russian: ( pdf| djvu)
Birman, M. Sh.
On the spectrum of Schrodinger and
Dirac operators. (Russian) Dokl. Akad. Nauk SSSR
129, no. 2 (1959), 239-241.
MR 22#817
Russian: ( pdf| djvu)
Birman, M. Sh.
On the discrete part of the spectrum of
Schrodinger and Dirac operators. (Russian)
Vestnik Leningrad. Univ. 7, no. 2 (1960), 167-168.
Russian: ( pdf| djvu)
Birman, M. Sh.; Pavlov, B. S. On the complete
continuity of certain imbedding operators. (Russian) Vestnik
Leningrad. Univ.
1, no. 1 (1961), 61-74.
MR 24#A3322
Russian: ( pdf| djvu)
Birman, M. Sh. On the spectrum of singular
boundary-value problems. (Russian)
Mat. Sb. (N.S.) 55, no. 2 (1961),
125-174.
MR 26#463
English translation in:
Eleven Papers on Analysis, AMS Transl. 53,
23-80, AMS, Providence, R.I., 1966.
Russian: ( pdf| djvu)
Birman, M. Sh.
Perturbation of the spectrum of a
singular elliptic operator under variation of the boundary and
boundary conditions. (Russian)
Dokl. Akad. Nauk SSSR 137, no. 4 (1961), 761-763.
MR 25#2314
English translation in:
Soviet Math. Dokl. 2 (1961), 326-328.
MR 31#1574
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M. Sh. On the number of eigenvalues in a
quantum scattering problem. (Russian) Vestnik Leningrad. Univ.
13, no. 3 (1961), 163-166.
MR 25#2803
Russian: ( pdf| djvu)
Birman, M. Sh. Perturbations of the continuous
spectrum of a singular elliptic operator by varying the boundary and
the boundary conditions. (Russian) Vestnik Leningrad. Univ.
1, no. 1 (1962), 22-55.
MR 25#2314
Russian: ( pdf| djvu) English: ( pdf| djvu)
Birman, M. Sh. On existence conditions for wave
operators. (Russian) Dokl. Akad. Nauk SSSR 143, no. 3 (1962),
506-509.
MR 26#6823
Russian: ( pdf| djvu)
Birman, M. Sh.; Krein, M. G. On the theory of
wave operators and scattering operators. (Russian) Dokl. Akad. Nauk
SSSR 144, no. 3 (1962), 475-478.
MR 25#2447
Russian: ( pdf| djvu)
Birman, M. Sh.; Skvorcov, G. E. On square summability
of highest derivatives of the solution of the Dirichlet problem in a
domain with piecewise smooth boundary. (Russian) Izv. Vyssh. Uchebn.
Zaved. Matematika 5(30)
(1962), 12-21.
MR 26#2731
Russian: ( pdf| djvu)
Birman, M. Sh.
On a test for the existence of wave
operators. (Russian) Dokl. Akad. Nauk SSSR 147, no. 5 (1962),
1008-1009.
MR 29#5107
Russian: ( pdf| djvu)
Birman, M. Sh.
Existence conditions for wave
operators. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 27,
no. 4 (1963), 883-906.
MR 28#4359
Russian: ( pdf| djvu)
Birman, M. Sh.; Krein, M. G.
Some topics of the
theory of the wave and scattering operators.
1963 Outlines Joint
Sympos. Partial Differential Equations (Novosibirsk, 1963) pp. 39-45
Acad. Sci. USSR Siberian Branch, Moscow.
MR 34#637
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M. Sh.; Glazman, I. M. Spectra of singular
differential operators. (Russian) Proc. Fourth All-Union
Math. Congr. (Leningrad, 1961) (Russian), Vol. II pp. 253-261. Izdat.
``Nauka'', Leningrad, 1964.
MR 36#3168
Russian: ( pdf| djvu)
Birman, M. Sh.; Entina, S. B. A stationary approach
in the abstract theory of scattering. (Russian) Dokl. Akad. Nauk SSSR
155, no. 3 (1964), 506-508.
MR 29#1887
Russian: ( pdf| djvu)
Birman, M. Sh.
A local criterion for the existence of
wave operators. (Russian) Dokl. Akad. Nauk SSSR 159, no. 3 (1964),
485-488.
MR 30#4171
Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
On double Stieltjes
operator integrals. (Russian) Dokl. Akad. Nauk SSSR
165, no. 6 (1965),
1223-1226.
MR 32#6234
Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Double Stieltjes
operator integrals. (Russian)
Problems of mathematical physics. No. 1. Spectral theory and wave
processes. (Russian) pp. 33-67. Izdat. Leningrad. Univ.,
Leningrad, 1966.
MR 35#767b
English translation in:
Topics in Mathematical Physics, Vol. 1, pp. 25-54,
Consultants Bureau
Plenum Publishing Corporation, New York 1967.
MR 35#1428
Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Approximation of
functions of the  -classes by
piece-wise-polynomial functions. (Russian) Dokl. Akad. Nauk SSSR 171,
no. 5 (1966), 1015-1018.
MR 35#630
English: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Double Stieltjes
operator integrals and problems on multipliers.
(Russian) Dokl. Akad. Nauk SSSR 171, no. 6 (1966), 1251-1254.
MR 35#767a
English: ( pdf| djvu)
Birman, M. Sh.; Entina, S. B.
Stationary approach in
abstract scattering theory. (Russian) Izv. Akad. Nauk SSSR
Ser. Mat. 31, no. 2 (1967), 401-430.
MR 35#790
Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Double Stieltjes
operator integrals. II. (Russian)
Problems of Mathematical
Physics, No. 2. Spectral Theory, Diffraction Problems (Russian) pp.
26-60 Izdat. Leningrad. Univ., Leningrad, 1967.
MR 38#2621
English translation in:
Topics in Mathematical Physics, Vol. 2, pp. 19-46,
Consultants Bureau, New York 1968.
MR 42#1630
Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Piecewise polynomial
approximations of functions of classes  .
(Russian) Mat. Sb. (N.S.) 73(115), no. 3 (1967), 331-355.
MR 36#576
Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Estimates of singular
numbers of integral operators. I. (Russian) Vestnik
Leningrad. Univ. 7, no. 2 (1967), 43-53.
MR 35#7173
Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Estimates of singular
numbers of integral operators. II. (Russian) Vestnik
Leningrad. Univ. 13, no. 3
(1967), 21-28.
MR 36#739
Russian: ( pdf| djvu)
Birman, M. Sh.
A local test for the existence of wave
operators. (Russian) Izv. Akad. Nauk SSSR Ser. Mat.
32, no. 4 (1968), 914-942.
MR 40#1810
Russian: ( pdf| djvu)
Belopol'skii, A. L.; Birman, M. Sh.
Existence of wave
operators in scattering theory for a pair of spaces. (Russian)
Izv. Akad. Nauk SSSR Ser. Mat.
32, no. 5 (1968), 1162-1175.
MR 38#6377
Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Estimates of singular
numbers of integral operators. III. Operators in unbounded
domains. (Russian) Vestnik Leningrad. Univ. 1, no. 1
(1969), 35-48.
MR 39#7468
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M. Sh.
Some applications of a local criterion
for the existence of wave operators. Dokl. Akad. Nauk SSSR
185, no. 4 (1969), 735-738.
English translation in:
Soviet Math. Dokl. 10 (1969), 393-397.
MR 43#7954
English: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Remarks on the
nuclearity of integral operators and the boundedness of
pseudodifferential operators. (Russian) Izv. Vyssh. Uchebn. Zaved.
Matematika 9(88) (1969), 11-17.
MR 40#7877
Russian: ( pdf| djvu)
Birman, M. Sh.
Scattering problems for differential
operators with constant coefficients. (Russian) Funktsional. Anal. i
Prilozhen. 3, no. 3 (1969), 1-16.
MR 40#6298
Russian: ( pdf| djvu)
Birman, M. Sh.
A test of the existence of complete
wave operators in scattering theory for a pair of spaces. (Russian)
Problems of Mathematical Physics, No. 4.
Spectral Theory. Wave Processes (Russian) pp. 22-26.
Izdat. Leningrad. Univ., Leningrad, 1970.
MR 43#2557
English translation in:
Topics in Mathematical Physics,
Vol. 4, pp. 17-21,
Consultants Bureau, New York-London, 1971.
MR 49#4732
Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Asymptotics of the
spectrum of weakly polar integral operators. (Russian) Izv. Akad. Nauk
SSSR Ser. Mat. 34, no. 5 (1970), 1142-1158.
MR 43#5359
English translation in:
Math. USSR, Izvestija 4 (1970), 1151-1168 (1971).
Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
The principal term of
the spectral asymptotics for ``non-smooth'' elliptic problems. (Russian)
Funktsional. Anal. i Prilozhen. 4, no. 4 (1970), 1-13.
MR 43#3857
English translation in:
Functional Analysis Appl. 4 (1970), 265-275 (1971).
Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
On the proof of the
theorem on the asymptotic behavior of the spectrum for the real part
of a Volterra operator with nuclear imaginary component. (Russian)
Mat. Issled. 5, no. 4(18) (1970), 16-25.
MR 44#2075
Russian: ( pdf| djvu)
Birman M. Sh.
Works on spectral theory of differential operators. (Russian)
In ``Mathematics in Leningrad (St.-Petersburg) University for 150 years''
(Russian), pp. 129-133. Izdat. Leningrad. Univ., Leningrad, 1970.
Russian: ( pdf| djvu)
Birman, M. Sh.
Scattering problems for differential
operators under a perturbation of the space. (Russian) Izv. Akad. Nauk
SSSR Ser. Mat. 35, no. 2 (1971), 440-455.
MR 45#957
English translation in:
Math. USSR, Izvestija 5(1971), 459-474 (1972).
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
The asymptotics of the
spectrum of ``nonsmooth'' elliptic equations. (Russian)
Funktsional. Anal. i Prilozhen. 5, no. 1 (1971), 69-70.
MR 44#659
English translation in:
Functional Analysis Appl. 5 (1971), 56-57.
Russian: ( pdf| djvu)
Birman, M. Sh.; Borzov, V. V.
The asymptotic behavior
of the discrete spectrum of certain singular differential
operators. (Russian) Problems of mathematical physics, No. 5.
Spectral theory. (Russian), pp. 24-38. Izdat. Leningrad. Univ., Leningrad,
1971.
MR 46#726
Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Remarks on the
spectral shift function. (Russian) Boundary value problems of
mathematical physics and related questions in the theory of functions,
6. Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 27
(1972), 33-46.
MR 47#4031
English translation in:
J. Soviet Math. 3 (1975), 408-419.
Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Spectral asymptotic
behavior of nonsmooth elliptic operators. (Russian) Dokl. Akad. Nauk
SSSR 205, no. 2 (1972), 267-270.
MR 46#4278
English translation in:
Soviet Math., Doklady 13 (1972), 906-910.
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Spectral asymptotics
of nonsmooth elliptic operators. I. (Russian)
Trudy Moskov. Mat. Obshch. 27 (1972), 3-52.
MR 51#1152
English translation in:
Trans. Moscow math. Soc. 27 (1972), 1-52 (1975).
Russian: ( pdf| djvu)
Babich, V. M.; Birman, M. Sh.; Smirnov, V. I.;
Solomyak, M. Z.; Ural'ceva, N. N.
Olga Aleksandrovna
Ladyzhenskaja (on her fiftieth birthday). (Russian) Vestnik
Leningrad. Univ. 7, no. 2 (1972), 159-160.
MR 45#6560
Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Double Stieltjes
operator integrals. III. (Russian)
Problems of mathematical physics. No. 6. Theory of
functions. Spectral theory. Wave propagation. (Russian) pp. 27-53.
Izdat. Leningrad. Univ., Leningrad, 1973.
MR 50#992
Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Spectral asymptotics
of nonsmooth elliptic operators. II. (Russian) Trudy
Moskov. Mat. Obshch. 28 (1973), 3-34.
MR 51#1152
English translation in:
Trans. Moscow Math. Soc. 28 (1973), 1-32 (1975).
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Equivalent renormings
of  classes in the case of partitioning of the
domain. (Russian) Izv. Vyssh. Uchebn. Zaved. Matematika
3(130) (1973), 19-27.
MR 49#9614
Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Quantitative analysis
in Sobolev imbedding theorems and applications to spectral
theory. (Russian)
Tenth Mathematical School (Summer School,
Kaciveli/Nalchik, 1972) (Russian), pp. 5-189. Izdanie
Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1974.
MR 58#2224
Russian: ( pdf| djvu) English: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
A certain ``model'' nonelliptic spectral problem. (Russian)
Collection of articles dedicated to the memory of Academician V. I.
Smirnov. Vestnik Leningrad. Univ.
1, no. 1 (1975), 39-45.
MR 52#1049
English translation in:
Vestn. Leningr. Univ., Math. 8 (1980), 23-30.
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M. Sh.; Koplienko, L. S.; Solomyak, M. Z.
Estimates of the
spectrum of a difference of fractional powers of selfadjoint operators.
(Russian) Izv. Vyssh. Uchebn. Zaved. Matematika, 3(154)
(1975), 3-10.
MR 52#6458
Russian: ( pdf| djvu)
Alekseev, A. B.; Birman, M. Sh.
Asymptotic behavior of
the spectrum of elliptic boundary value problems with solvable
constraints. (Russian) Dokl. Akad. Nauk SSSR 230, no. 3 (1976),
505-507.
MR 54#8044
English translation in:
Sov. Math. Dokl. 17 (1976), 1319-1322 (1977).
English: ( pdf| djvu) Russian: ( pdf| djvu)
Alekseev, A. B.; Birman, M. Sh.
A variational
formulation of the problem of the oscillations of a resonator that is
filled with a stratified anisotropic medium. (Russian) Vestnik
Leningrad. Univ. 7, no. 2 (1977), 9-15.
MR 57#2177
English translation in:
Vestn. Leningr. Univ., Math. 10 (1982), 101-108.
Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Asymptotic behavior of
the spectrum of pseudodifferential operators with anisotropically
homogeneous symbols. (Russian) Vestnik Leningrad. Univ.
13, no. 3 (1977), 13-21.
MR 57#3680
English translation in:
Vestn. Leningr. Univ., Math. 10 (1982), 237-247.
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Application of
interpolational methods to estimates of the spectrum of integral
operators. (Russian) Operator theory in function spaces (Proc. School,
Novosibirsk, 1975) (Russian), pp. 42-70, ``Nauka''
Sibirsk. Otdel., Novosibirsk, 1977.
MR 80b:47063
English translation in:
Transl., II. Ser., Am. Math. Soc. 127 (1985), 61-82.
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Estimates for the
singular numbers of integral operators. (Russian) Uspehi Mat. Nauk
32, no. 1(193)
(1977), 17-84.
MR 55#11104
English translation in:
Russ. Math. Surveys 32, no. 1 (1977), 15-89.
Russian: ( pdf| djvu)
Alekseev A. B., Birman M. Sh.
Asymptotic behaviour of the discrete spectrum
of elliptic problems with solvable differential constraints. (Russian)
Uspehi mat. nauk, 32, no. 1(193) (1977), 232-233.
Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Asymptotic properties
of the spectrum of differential equations. (Russian) Mathematical
analysis, 14 (Russian), pp. 5-58. (loose errata) Akad. Nauk
SSSR Vsesojuz. Inst. Nauchn. i Tehn. Informacii, Moscow,
1977.
MR 57#6892
English translation in:
J. Sov. Math. 12 (1979), 247-283.
Russian: ( pdf| djvu) English: ( pdf| djvu)
Birman M. Sh., Solomyak M. Z.,
On asymptotic behaviour of the spectrum of variational problems
with constraints. (Russian)
Proceedings of the conference dedicated to Academician Petrovsky
75th birthday. pp. 51-52, Izdat. Mosk. Univ., Moscow, 1978.
Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Asymptotic behavior
of the spectrum of pseudodifferential operators with anisotropically
homogeneous symbols. II. (Russian) Vestnik
Leningrad. Univ. Mat. Mekh. Astronom. 13, no. 3 (1979), 5-10.
MR 81b:47060
English translation in:
Vestn. Leningr. Univ., Math. 12 (1980), 155-161.
Russian: ( pdf| djvu)
Birman, M. Sh.; Vershik, A. M.; Solomyak, M. Z.
The
product of commuting spectral measures may fail to be countably
additive. (Russian) Funktsional. Anal. i Prilozhen.
13, no. 1 (1979), 61-62.
MR 80h:28010
English translation in:
Funct. Anal. Appl. 13 (1979), 48-49.
Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Asymptotic behavior
of the spectrum of variational problems on solutions of elliptic
equations. (Russian) Sibirsk. Mat. Zh. 20, no. 1 (1979), 3-22.
MR 80c:35077
English translation in:
Sib. Math. J. 20 (1979), 1-15.
Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Asymptotic behavior
of the spectrum of variational problems on solutions of elliptic
equations. (Russian) Partial differential equations (Proc. Conf.,
Novosibirsk, 1978) (Russian), pp. 221-223. ``Nauka''
Sibirsk. Otdel., Novosibirsk, 1980.
MR 82b:35115
Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Asymptotic behavior
of the spectrum of variational problems on solutions of elliptic
equations in unbounded domains. (Russian) Funktsional. Anal. i
Prilozhen. 14, no. 4 (1980), 27-35.
MR 82a:35084
English translation in:
Funct. Anal. Appl. 14 (1981), 267-274.
Russian: ( pdf| djvu)
Birman, M. Sh.; Yafaev, D. R.
Asymptotics of the
spectrum of the  -matrix in potential scattering. (Russian)
Dokl. Akad. Nauk SSSR 255, no. 5 (1980), 1085-1087.
MR 82j:35116
Russian: ( pdf| djvu)
Birman, M. Sh.
Quasiclassical spectral asymptotic
behavior of a class of integral operators. (Russian) Studies in
mathematical statistics, 4. Zap. Nauchn. Sem. Leningrad. Otdel.
Mat. Inst. Steklov. (LOMI) 98 (1980), 22-32.
MR 82i:47083
English translation in:
J. Sov. Math. 21 (1983), 12-20.
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M. Sh.; Yafaev, D. R.
Asymptotic behavior of
the spectrum of the scattering matrix. (Russian) Boundary value
problems of mathematical physics and related questions in the theory
of functions, 13. Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov.
(LOMI) 110 (1981), 3-29.
MR 83c:35095
English translation in:
J. Sov. Math. 25 (1984), 793-814.
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M. Sh.; Yafaev, D. R.
Asymptotic behavior of
limit phases for scattering by potentials without spherical
symmetry. (Russian) Teoret. Mat. Fiz. 51, no. 1 (1982), 44-53.
MR 84a:81037
Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
The asymptotic behavior
of the spectrum of variational problems on solutions of elliptic
systems. (Russian) Boundary value problems of mathematical physics and
related questions in the theory of functions, 14. Zap. Nauchn. Sem.
Leningrad. Otdel. Mat. Inst. Steklov. (LOMI)
115 (1982), 23-39.
MR 84c:35082
English translation in:
J. Sov. Math. 28 (1985), 633-644.
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Asymptotic behavior of
the spectrum of pseudodifferential variational problems with
shifts. (Russian)
Problems of Mathematical Physics. No. 10. Spectral theory. Wave processes.
(Russian) pp. 20-36.
Izdat. Leningrad. Univ., Leningrad, 1982.
MR 84f:35109
English translation in:
Sel. Math. Sov. 5 (1986), 245-256.
Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
On subspaces that admit
a pseudodifferential projector. (Russian) Vestnik
Leningrad. Univ. Mat. Mekh. Astronom. 1, no. 1 (1982), 18-25.
MR 83h:58091
English translation in:
Vestn. Leningr. Univ., Math. 15 (1983), 17-27.
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z. Compact operators with
power asymptotic behavior of the singular numbers. (Russian)
Investigations on linear operators and the theory of functions,
12. Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI)
126 (1983), 21-30.
MR 85e:47027
English translation in:
J. Sov. Math. 27 (1984), 2442-2447.
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman M. Sh. Re-expansion operators as objects of spectral
analysis.
Linear and Complex Analysis Problem Book. 199 Research
Problems. Lecture Notes in Math., 1043, pp. 130-134. Springer-Verlag,
1984.
English: ( pdf| djvu)
Birman M. Sh., Solomyak M. Z.
Some problems on compact operators with power-like behaviour of
singular numbers.
Linear and Complex Analysis Problem Book. 199 Research
Problems. Lecture Notes in Math., 1043, pp. 217-218. Springer-Verlag,
1984.
English: ( pdf| djvu)
Birman, M. Sh. The Maxwell operator in domains with
edges. (Russian) Boundary value problems of mathematical physics and
related problems in the theory of functions, 17.
Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 147
(1985), 3-9.
MR 87j:35307
English translation in:
J. Sov. Math. 37 (1987), 793-797.
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M. Sh. The Maxwell operator for a resonator
with inward edges. (Russian) Vestnik
Leningrad. Univ. Mat. Mekh. Astronom. no. 3 (1986), 3-8.
MR 87m:35181
English translation in:
Vestn. Leningr. Univ., Math. 19, no. 3 (1986), 1-8.
Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z. The Maxwell operator in
domains with a nonsmooth boundary. (Russian) Sibirsk. Mat. Zh.
28, no. 1 (1987), 23-36.
MR 88g:35095
English translation in:
Sib. Math. J. 28 (1987), 12-24.
Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z. Weyl asymptotics of the
spectrum of the Maxwell operator for domains with a Lipschitz
boundary. (Russian) Vestnik Leningrad. Univ. Mat. Mekh.
Astronom. no. 3 (1987), 23-28.
MR 89h:35253
English translation in:
Vestn. Leningr. Univ., Math. 20, no. 3 (1987), 15-21.
Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Construction in a
piecewise-smooth domain of a function of the class  from the
value of the conormal derivative. (Russian)
Boundary value problems of mathematical physics and
related problems in the theory of functions, 19.
Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI)
163 (1987), 17-28.
MR 89b:35035
English translation in:
J. Sov. Math. 49, no. 5 (1990), 1128-1136.
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.  -theory of the
Maxwell operator in arbitrary domains. (Russian) Uspehi Mat. Nauk 42,
no. 6(258) (1987), 61-76.
MR 89e:35127
English translation in:
Russ. Math. Surv. 42, no. 6 (1987), 75-96.
Russian: ( pdf| djvu)
Birman, M. Sh.; Yafaev, D. R.
A general scheme in the
stationary theory of scattering. (Russian)
Problems
of Mathematical Physics. No. 12. Wave propagation.
Scattering theory. (Russian) pp. 89-117.
Izdat. Leningrad. Univ., Leningrad, 1987.
MR 89b:47016
English translation in:
Wave propagation. Scattering theory, 87-112,
Amer. Math. Soc. Transl. Ser. 2, 157, Amer. Math. Soc., Providence,
RI, 1993.
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M. Sh. The Maxwell operator for a periodic
resonator with inward edges. (Russian) Boundary value problems of
mathematical physics, 13 (Russian). Trudy Mat. Inst. Steklov.
179 (1988), 23-35.
MR 89m:35160
English translation in:
Proc. Steklov Inst. Math. 179 (1989), 21-34.
MR 89b:35035
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
The -theory of
the Maxwell operator in domains with nonsmooth boundary.
Symposium
``Partial Differential Equations'' (Holzhau, 1988), 33-41, Teubner-Texte
Math., 112, Teubner, Leipzig, 1989.
English: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
The selfadjoint Maxwell
operator in arbitrary domains. (Russian)
Algebra i Analiz 1, no. 1 (1989), 96-110.
MR 91e:35197
English translation in:
Leningr. Math. J. 1, no. 1 (1990), 99-115.
Russian: ( pdf| djvu) English: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Interpolation estimates
for the number of negative eigenvalues of a Schrodinger
operator.
Schrodinger operators, standard and nonstandard (Dubna,
1988), 3-18, World Sci. Publishing, Teaneck, NJ, 1989.
MR 92e:35115
English: ( pdf| djvu)
Birman, M. Sh.; Yafaev, D. R.
On the trace-class method
in potential scattering theory. (Russian)
Boundary value problems of mathematical physics and
related problems in the theory of functions, 20.
Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov.
(LOMI) 171 (1989), 12-35.
MR 91g:35198
English translation in:
J. Sov. Math. 56, no. 2 (1991), 2285-2299.
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Operator integration, perturbations and commutators.
Investigations on linear operators and the theory of functions, 17.
Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI)
170 (1989), 34-46.
English translation in:
J. Sov. Math. 63, no. 2 (1993), 129-148.
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Estimates for the
difference of fractional powers of selfadjoint operators under
unbounded perturbations. (Russian)
Investigations on linear operators and the theory of functions, 18.
Zap. Nauchn. Sem. Leningrad.
Otdel. Mat. Inst. Steklov. (LOMI) 178 (1989), 120-145.
MR 91d:47006
English translation in:
J. Sov. Math. 61, no. 2 (1992), 2018-2035.
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Negative discrete
spectrum of the Schrodinger operator with large coupling constant: a
qualitative discussion.
Order, disorder and chaos in quantum systems
(Dubna, 1989), 3-16, Oper. Theory Adv. Appl., 46, Birkhauser, Basel,
1990.
MR 92j:35136
English: ( pdf| djvu)
Birman, M. Sh. Discrete spectrum in the gaps of the
continuous one in the large-coupling-constant limit.
Order, disorder
and chaos in quantum systems (Dubna, 1989), 17-25, Oper. Theory
Adv. Appl., 46, Birkhauser, Basel, 1990.
MR 92j:47091
English: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
The estimates for the
number of negative bound states of the Schrodinger operator for large
coupling constants.
Integral equations and inverse problems (Varna,
1989), 49-57. Pitman Res. Notes Math. Ser., 235, Longman Sci. Tech.,
Harlow, 1991.
MR 92g:35159
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M. Sh.; Krein, S. G.; Ladyzhenskaya, O. A.;
Rozenblyum, G. V.; Safarov, Yu.. G.
Mikhail Zakharovich Solomyak (on
the occasion of his sixtieth birthday). (Russian) Uspehi Mat. Nauk 46
(1991), no. 4(280), 183-184.
MR 92k:01025
English translation in:
Russian Math. Surveys 46, no. 4 (1991), 217-219.
Russian: ( pdf| djvu)
Birman, M. Sh.
On a discrete spectrum in gaps of a
second-order perturbed periodic operator. (Russian)
Funktsional. Anal. i Prilozhen. 25, no. 2 (1991), 89-92.
MR 92m:47090
English translation in:
Funct. Anal. Appl. 25, no. 2 (1991), 158-161.
Russian: ( pdf| djvu)
Birman, M. Sh.
Discrete spectrum in a gap of perturbed
periodic operator at large coupling constants.
Rigorous results in quantum dynamics (Liblice, 1990), 16-24. World Sci.
Publishing, River Edge, NJ, 1991.
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Discrete negative
spectrum under nonregular perturbations (polyharmonic operators,
Schrodinger operators with a magnetic field, periodic
operators).
Rigorous results in quantum dynamics (Liblice, 1990),
25-36. World Sci. Publishing, River Edge, NJ, 1991.
English: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z. Estimates for the number
of negative eigenvalues of the Schrodinger operator and its
generalizations. Estimates and asymptotics for discrete spectra of
integral and differential equations (Leningrad, 1989-90), 1-55.
Adv. Soviet Math., 7, Amer. Math. Soc., Providence, RI, 1991.
MR 95h:35161
English: ( pdf| djvu)
Birman, M. Sh. Discrete spectrum in the gaps of a
continuous one for perturbations with large coupling
constant. Estimates and asymptotics for discrete spectra of integral
and differential equations (Leningrad, 1989-90), 57-73. Adv. Soviet
Math., 7, Amer. Math. Soc., Providence, RI, 1991.
MR 95h:47009
English: ( pdf| djvu)
Birman, M. Sh.; Raikov, G. D. Discrete spectrum in
the gaps for perturbations of the magnetic Schrodinger
operator. Estimates and asymptotics for discrete spectra of integral
and differential equations (Leningrad, 1989-90), 75-84. Adv. Soviet
Math., 7, Amer. Math. Soc., Providence, RI, 1991.
MR 95h:35153
English: ( pdf| djvu)
Birman, M. Sh.; Karadzhov, G. E.; Solomyak, M. Z.
Boundedness conditions and spectrum estimates for the operators
a(D) ) and their analogs. Estimates and asymptotics for discrete
spectra of integral and differential equations (Leningrad, 1989-90),
85-106. Adv. Soviet Math., 7, Amer. Math. Soc., Providence, RI,
1991.
MR 95g:47075
English: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Schrodinger
operator. Estimates for number of bound states as function-theoretical
problem.
Spectral theory of operators (Novgorod, 1989), 1-54.
Amer. Math. Soc. Transl. Ser. 2, 150, Amer. Math. Soc., Providence,
RI, 1992.
MR 93j:35120
English: ( pdf| djvu)
Birman, M. Sh. Three problems in continuum theory in
polyhedra. (Russian) Boundary value problems of
mathematical physics and related questions in the theory of functions, 24.
Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 200
(1992), 27-37.
MR 94b:35204
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M. Sh.; Yafaev, D. R. The spectral shift
function. The papers of M. G. Krein and their further
development. (Russian) Algebra i Analiz 4, no. 5 (1992), 1-44.
English translation in:
St. Petersburg Math. J. 4, no. 5 (1993), 833-870.
MR 94g:47002
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M. Sh.; Yafaev, D. R. Spectral properties of
the scattering matrix. (Russian)
Algebra i Analiz 4, no. 6 (1992), 1-27.
English translation in:
St. Petersburg. Math. J. 4, no. 6 (1993), 1055-1079.
MR 94g:47003
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z. Principal singularities
of the electric component of an electromagnetic field in regions with
screens. (Russian) Algebra i Analiz 5, no. 1 (1993),
143-159.
MR 94f:35137
English translation in:
St. Petersburg. Math. J. 5, no. 1 (1994), 125-139.
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M. Sh.
Discrete spectrum of the periodic
Schrodinger operator for non-negative perturbations.
Mathematical
results in quantum mechanics (Blossin, 1993), 3-7. Oper. Theory
Adv. Appl., 70, Birkhauser, Basel, 1994.
English: ( pdf| djvu)
Birman, M. Sh.; Weidl, T.
The discrete spectrum in a
gap of the continuous one for compact supported
perturbations.
Mathematical results in quantum mechanics (Blossin,
1993), 9-12. Oper. Theory Adv. Appl., 70, Birkhauser, Basel, 1994.
English: ( pdf| djvu)
Birman, M. Sh.; Laptev, A.
Discrete spectrum of the
perturbed Dirac operator.
Mathematical results in quantum mechanics
(Blossin, 1993), 55-59. Oper. Theory Adv. Appl., 70, Birkhauser,
Basel, 1994.
English: ( pdf| djvu)
Birman, M. Sh.; Yafaev, D. R.
The scattering matrix for
a perturbation of a periodic Schrodinger operator by decreasing
potential. (Russian)
Algebra i Analiz 6, no. 3 (1994), 17-39.
MR 95i:47086
English translation in:
St.Petersburg Math. J., 6, no. 3 (1995),
453-474.
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M. Sh.
Discrete spectrum of the periodic
elliptic operator with a differential perturbation.
Journees
``Equations aux Derivees Partielles'' (Saint-Jean-de-Monts, 1994),
Exp. No. XIV, 4 pp., Ecole Polytech., Palaiseau, 1994.
English: ( pdf| djvu)
Birman, M. Sh.; Laptev, A. Discrete spectrum of
the perturbed Dirac operator. Ark. Mat. 32 (1994), no. 1,
13-32.
MR 95h:35162
English: ( pdf| djvu)
Birman, M. Sh. Ilya Bakelman in Russia. A tribute
to Ilya Bakelman. (College Station, TX, 1993), 2-4, Discourses
Math. Appl., 3, Texas A & M Univ., College Station, TX, 1994.
English: ( pdf| djvu)
Arnol'd, V. I.; Birman, M. Sh.; Gel'fand, I. M.;
et al. Anatolii Moiseevich Vershik (on the occasion of
his sixtieth birthday). (Russian) Uspehi Mat. Nauk 49,
no. 3(297) (1994), 195-204.
Russian: ( pdf| djvu)
Birman, M. Sh.
Spectral shift function and double operator integrals.
Linear and Complex Analysis Problem Book 3. Part I.
Lecture Notes in Math., 1573. pp. 272-273.
Springer-Verlag, 1994.
English: ( pdf| djvu)
Birman, M. Sh. The discrete spectrum in gaps of the
perturbed periodic Schrodinger operator. I. Regular
perturbations. Boundary value problems, Schrodinger operators,
deformation quantization, 334-352, Math. Top., 8, Akademie Verlag,
Berlin, 1995.
MR 97d:47055
English: ( pdf| djvu)
Birman, M. Sh. The discrete spectrum of the periodic
Schrodinger operator perturbed by a decreasing potential. (Russian)
Algebra i Analiz 8, no. 1 (1996), 3-20.
English translation in:
St. Petersburg Math. J. 8 (1997), no. 1, 1-14.
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M.; Solomyak, M. Tensor product of a finite
number of spectral measures is always a spectral measure.
Integral Equations Operator Theory
24 (1996), no. 2, 179-187.
MR 96m:47038
English: ( pdf| djvu)
Birman, M. Sh.; Laptev, A. The negative discrete
spectrum of a two-dimensional Schrodinger operator. Comm. Pure
Appl. Math. 49 (1996), no. 9, 967-997.
English: ( pdf| djvu)
Birman, M. Sh.; Suslina, T. A.
The two-dimensional periodic magnetic Hamiltonian
is absolutely continuous.
Algebra i Analiz 9, no. 1 (1997), 32-48.
English translation in:
St. Petersburg Math. J. 9 (1998), no. 1, 21-32.
Russian: ( pdf| djvu)
Birman, M. Sh.; Laptev, A.; Solomyak, M.
The negative discrete spectrum of the operator
^l-\alpha V ) in  ) for  even
and  . Ark. Mat. 35 (1997), no. 1, 87-126.
English: ( pdf| djvu)
Birman, M. Sh.; Laptev, A.
``Non-standard'' spectral asymptotics for a two-dimensional
Schrodinger operator.
Centre de Recherches Mathematiques, CRM Proceedings and Lecture
Notes, 12 (1997), 9-16.
English: ( pdf| djvu)
Birman, M. Sh.
Discrete spectrum in the gaps of the perturbed periodic Schrodinger operator.
II. Non-regular perturbations. (Russian)
Algebra i Analiz, 9, no. 6 (1997), 62-89.
English translation in:
St. Petersburg Math. J. 9 (1998), no. 6, 1073-1095.
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M. Sh.; Pushnitski, A. B.
Discrete spectrum in the gaps of perturbed pseudorelativistic
Hamiltonian.
Boundary value problems of mathematical physics and related questions in the
theory of functions, 29.
Zap. Nauchn. Sem. POMI 249 (1997), 102-117. (Russian)
Russian: ( pdf| djvu)
Birman, M. Sh.; Pushnitski, A. B.
Spectral shift function, amazing and multifaceted.
Integral Equations Operator Theory 30, no. 2
(1998), 191-199.
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M. Sh.; Laptev, A.; Solomyak, M.
On the eigenvalue behaviour for a class of differential operators
on semiaxis. Math. Nachr. 195 (1998), 17-46.
English: ( pdf| djvu)
Birman, M. Sh.; Suslina, T. A.
Absolute continuity of the two-dimensional periodic magnetic Hamiltonian
with discontinuous vector-valued potential. (Russian)
Algebra i Analiz 10, no. 4 (1998), 1-36.
English translation in:
St. Petersburg Math. J. 10, no. 4 (1999), 1-26.
English: ( pdf| djvu) Russian: ( pdf| djvu)
Birman, M. Sh.; Suslina, T. A.
Two-dimensional periodic Pauli operator. The effective masses at the
lower edge of the spectrum.
Mathematical results in quantum mechanics (Prague, 1998),
Oper. Theory Adv. Appl., vol. 108, Birkhauser, Basel,
1999, pp. 13-31.
English: ( pdf| djvu)
Birman, M. Sh.; Suslina, T. A.
The periodic Dirac operator is absolutely continuous.
Integral Equations Operator Theory 34, no. 4 (1999), 377-395.
English: ( pdf| djvu)
Birman, M. Sh.; Suslina, T. A.
Periodic magnetic Hamiltonian
with a variable metric. The problem of absolute continuity. (Russian)
Algebra i Analiz 11, no. 2 (1999), 1-40.
English translation in:
St. Petersburg Math. J. 11, no. 2 (2000), 203-232.
Russian: ( pdf| djvu)
Birman, M. Sh.; Shterenberg, R. G.; Suslina, T. A.
Absolute continuity of the spectrum of a
two-dimensional Schrodinger operator with potential
supported on a periodic system of curves. (Russian)
Algebra i Analiz 12, no. 6 (2000), 140-177.
English translation in:
St. Petersburg Math. J. 12, no. 6 (2001), 983-1012.
Russian: ( pdf| djvu)
Birman, M. Sh.; Suslina, T. A.
On the absolute continuity of the periodic
Schrodinger and Dirac operators with magnetic potential.
Differential equations and mathematical physics
(Birmingham, AL, 1999), AMS/IP Stud. Adv. Math., 16,
Amer. Math. Soc., Providence, RI, 2000, pp. 41-49.
English: ( pdf| djvu)
Birman, M. Sh.; Laptev, A.; Suslina, T. A.
Discrete spectrum of a two-dimensional
periodic elliptic second order operator perturbed
by a decaying potential. I.
Semibounded gap. (Russian)
Algebra i Analiz 12, no. 4 (2000), 36-78.
English translation in:
St. Petersburg Math. J. 12, no. 4 (2001), 535-567.
Russian: ( pdf| djvu)
Birman, M. Sh.; Suslina, T. A.
Threshold effects near the lower edge of the spectrum
for periodic differential operators of mathematical physics.
Systems, approximation, singular integral operators, and related
topics (Bordeaux, 2000), Oper. Theory Adv. Appl., vol. 129,
Birkhauser, Basel, 2001, pp. 71-107.
English: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
On the negative discrete spectrum of a periodic elliptic operator in a waveguide-type domain, perturbed by
a decaying potential.
J. Anal. Math. 83 (2001), 337-391.
English: ( pdf| djvu)
Amosov, B. A.; Birman, M. Sh.; Vishik, M. I.; et al.
Mikhail Semenovich Agranovich (on occation of his 70-th birthday).
(Russian) Uspehi Matem. Nauk 56, no. 4 (2001), 163-168.
English translation in:
Russian Math. Surveys 56, no. 4 (2001), 777-784.
Russian: ( pdf| djvu)
Birman, M. Sh.; Suslina, T. A.
Absolute continuity of the spectrum of
the periodic operator of elasticity theory for constant shear
modulus,
International Mathematical Series. Nonlinear Problems in
Mathematical Physics, II (in Honor of Prof. O. A. Ladyzhenskaya),
Kluwer/Plenum Publishers, 2002, pp. 69-76.
Russian: ( pdf| djvu)
Arkhipova, A. A.; Birman, M. Sh.; Buslaev, V. S.; et al.
On the jubilee of Olga Aleksandrovna Ladyzhenskaya. (Russian)
Boundary value problems of mathematical physics and related questions in the
theory of functions, vol. 32. Zap. Nauchn. Sem. POMI 288 (2002), 5-13.
Russian: ( pdf| djvu)
Birman, M. Sh.
On the homogenization procedure for periodic operators in the neighbourhood of the edge of internal gap.
(Russian) Algebra i Analiz
15, no. 4 (2003), 61-71.
English translation in:
St. Petersburg Math. J. 15, no. 4 (2004), 507-513.
Russian: ( pdf| djvu) English: ( pdf| djvu)
Birman, M. Sh.; Suslina, T. A.
Second order periodic differential operators. Threshold properties and homogenization.
(Russian) Algebra i Analiz
15, no. 5 (2003), 1-108.
English translation in:
St. Petersburg Math. J. 15, no. 5 (2003), 639-714.
Russian: ( pdf| djvu) English: ( pdf| djvu)
Birman, M. Sh.; Solomyak, M. Z.
Double operator integrals in a Hilbert space.
Integral Equations. Operator Theory 47 (2003), 131-168.
English: ( pdf| djvu)
Birman, M. Sh.; Suslina, T. A.
Homogenization of a multidimensional periodic elliptic operator in
a neighbourhood of the edge of internal gap.
(Russian) Boundary value problems of mathematical physics
and related problems in the theory of functions, no. 36.
Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov (LOMI),
vol. 318, 2004, pp. 60-74.
English translation in:
Journal of Math. Sci. 136, no. 2 (2006), 3682-3690.
Russian: ( pdf| djvu)
V. I. Arnold, M. Sh. Birman, A. M. Vershik, et al.,
Olga Aleksandrovna Ladyzhenskaya, (Russian)
Uspekhi Mat. Nauk 59 (2004), no. 3(357), 151-152;
English transl., Russian Math. Surveys 59 (2004), no. 3, 553-555.
MR 2116538
Russian: ( pdf| djvu) English: ( pdf| djvu)
M. Sh. Birman, T. A. Suslina,
Threshold approximations with corrector for the resolvent of a factorized selfadjoint
operator family, (Russian)
Algebra i Analiz 17 (2005), no. 5, 69-90; English transl.,
St. Petersburg Math. J. 17 (2006), no. 5, 745-762.
MR 2241423
English: ( pdf| djvu) Russian: ( pdf| djvu)
M. Sh. Birman, T. A. Suslina,
Homogenization with corrector term for periodic elliptic differential operators, (Russian)
Algebra i Analiz 17 (2005), no. 6, 1-104; English transl.,
St. Petersburg Math. J. 17 (2006), no. 6, 897-973.
MR 2202045 (2006k:35011)
English: ( pdf| djvu) Russian: ( pdf| djvu)
A. B. Alekseev, M. Sh. Birman, N. D. Filonov, Spectrum
asymptotics for one "nonsmooth" variational problem with solvable
constraint, (Russian) Algebra i Analiz 18 (2006), no. 5,
1-22; English transl., St. Petersburg. Math. J. 18 (2007), no. 5, 681-697.
MR 2301038 (2008b:35193)
Russian: ( pdf| djvu)
M. Sh. Birman, T. A. Suslina,
Homogenization with corrector for periodic differential operators.
Approximation of solutions in the Sobolev class  ) , (Russian)
Algebra i Analiz 18 (2006), no. 6, 1-130; English transl.,
St. Petersburg Math. J. 18 (2007), no. 6, 857-955.
MR 2307356
Russian: ( pdf| djvu)
M. Sh. Birman, T. A. Suslina,
Homogenization of the stationary periodic Maxwell system
in the case of constant permeability, (Russian)
Funktsional. Anal. i Prilozhen. 41 (2007), no. 2, 3-23;
English transl., Funct. Anal. Appl. 41 (2007), no. 2, 81-98.
MR 2345036
English: ( pdf| djvu) Russian: ( pdf| djvu)
M. Sh. Birman, N. D. Filonov, Weyl asymptotics of the
spectrum of the Maxwell operator with non-smooth coefficients in
Lipschitz domains, Nonlinear equations and spectral theory,
Amer. Math. Soc. Transl. Ser. 2, v. 220
(2007), pp. 27-44.
MR 2343605
English: ( pdf| djvu)
M. Sh. Birman, T. A. Suslina,
Operator error estimates for homogenization of nonstationary periodic
equations, (Russian) Algebra i Analiz 20 (2008), no. 6, 30-107;
English transl., St. Petersburg. Math. J. 20 (2009), no. 6.
English: ( pdf| djvu) Russian: ( pdf| djvu)
M. Sh. Birman, T. A. Suslina,
The limit absorption principle and homogenization procedure for
periodic elliptic operators, (Russian)
Funktsional. Anal. i Prilozhen. 42 (2008), no. 4, 105-108;
English transl., Funct. Anal. Appl. 42 (2008), no. 4, 336-339.
English: ( pdf| djvu) Russian: ( pdf| djvu)
M. Sh. Birman, T. A. Suslina,
Homogenization of periodic differential operators
as a spectral threshold effect, New trends in mathematical physics,
Proceedings of XV International
Congress on Mathematical Physics, Springer Science, 2009.
English: ( pdf| djvu)
M. Sh. Birman, V. A. Sloushch, Two-sided estimates for the trace
of the difference of a pair of semigroups, (Russian)
Funktsional. Anal. i Prilozhen. 43 (2009), no. 3, 26-32;
English transl. in Funct. Anal. Appl. 43 (2009), no. 3, 184-189. MR2583637.
Russian: ( pdf| djvu)
M. Sh. Birman, V. A. Sloushch, Discrete spectrum of the periodic Schrodinger operator
with a variable metric perturbed by a nonnegative potential, Math. Model. Nat. Phenom.
5, no. 4, 2010.
English: ( pdf| djvu)
M. Sh. Birman, T. A. Suslina, The analog of the limiting absorbtion principle
in homogenization of periodic elliptic operators, AMS Translations, 2010.
English: ( pdf| djvu)
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