
International
conference
WAVELETS AND
SPLINES
July 3  8, 2003 Saint Petersburg, Russia 
July 3, Thursday
St. Petersburg Department of V.A.Steklov Institute of Mathematics
10.30 
Opening

Plenary Session (Chairman: M.
Skopina)
11.0012.00 
Yu. Brudnyi, Nonlinear ApproximationResults and
Problems 
Coffee break 

12.3013.30 
S. Konyagin, Convergence of Greedy Approximation 
Euler International Mathematical Institute
Session (A): WAVELETS (Chairman: H. Mhaskar)
16.3016.50 
M. Rossini, On the error evaluation of a multidimensional MRA based on polyharmonic splines (joint presentation with B. Bacchelli and M. Bozzini) 
16.5517.15 
V. Zheludev, Spline subdivision schemes (joint
presentation with A. Averbuch) 
17.2017.40 
A. Pevnyi, Riesz wavelet bases in the space _{} 
17.5018.10 
V. Babenko, About some construction of the nonseparable wavelets (joint presentation
with A. Ligun and A. Shumeiko) 
18.1518.35 
I. Novikov, Biorthogonal compactly supported wavelets 
Session (B): SPLINES (Chairman: B. Kvasov)
16.3017.15 
V. Miroshnichenko, Quadratic histosplines: algorithms and exact error bounds 
17.2017.40 
R. Trigub, Positive definite finite splines and
approximation with linear combinations of their shifts 
17.4518.05 
V. Zastavnyi, About some properties radial basis
Buhmanns functions 
Session (D): RELATED TOPICS (Chairman: S. Konyagin)
16.3017.15 
Z. Ditzian, Averages and smoothness on the sphere 
17.2017.40 
V. Maiorov, On Best Approximation of Classes by
Radial Functions 
17.4518.05 
M. Skriganov, Harmonic analysis on totally
disconnected groups and irregularities of point distributions 
18.45 
Welcome party

July 4, Friday
Euler International Mathematical Institute
Plenary Session (Chairman: Yu. Brudnyi)
10.0011.00 
M. Unser, The spline
foundation of wavelet theory 
Coffee break 

11.3012.30 
N. Dyn, Nonlinear
subdivisdion schemes 
12.4013.25 
A. Ligun, On nonseparable
wavelets and it's application (joint presentation with V. Babenko and A.
Shumeiko) 
Session (A): FRAMES (Chairman: A. Petukhov)
15.3016.15 
L. RebolloNeira,
Compressing overcomplete representations 
16.2016.40 
M. Bespalov, Tight frame of corank one 
16.4517.05 
M. Fornasier,
Interpolation of Banach spaces by means of Gaborwavelets frames 
Coffee break 

17.3017.50 
T. Rodionov, On frame
coeffcients and expansions of _{} Functions 
17.5518.15 

Session (B): SPLINES (Chairman: V. Miroshnichenko)
15.3016.15 
B. Kvasov, On constructing polyharmonic tension splines 
16.2016.40 
Yu. Volkov, On convergence
of derivatives of odddegree spline interpolation and de Boor's problem 
16.4517.05 
U. Hamarik, On projection
methods for illposed problems with a posteriori choice of the dimension of
spline or wavelet subspaces 
Coffee break 

Session (C): ENGINEERING APPLICATIONS (Chairman: V. Zheludev)
15.3015.50 
V. Katkovnik, Image deblurring using LPA and wavelets 
15.5516.15 
Z. Kalab, Description of
seismic events using wavelet decomposition 
16.2016.40 
O. Bolshakova, Synthesis of MultiDimentional Filter
Banks 
16.4517.05 
R. Kazinnik, Image
compression approach aimed at reducing the Hausdorff distance (joint
presentation with N. Dyn) 
Coffee break 

17.4018.00 
M. Tchobanou, Synthesis of
twodimensional filetr banks and wavelet functions (joint presentation with
O. Bolshakova) 
Poster Session
18.1519.00 
M. Laaksonen, Wavelet based seasonal adjustment and business cyclesM. Strintzis, The Use of Wavelets in the JPEG 2000 Image Coding World StandardR. Sych, The study of twodimensional images of the solar coronal loops with use of wavelet analysis, The development of analogue a mathematical package Wavelet Toolbox (MATLAB) on algorithmic language IDLM. Tchobanou, Synthesis of twodimensional filetr banks and wavelet functions (joint presentation with O. Bolshakova)Samsonova, To be announced V. Zverev, An adaptive wavelet scheme for numerical simulations of the domain walls motion in magnetics 
July 5, Saturday
Euler International Mathematical Institute
Plenary Session (Chairman: S.
Kislyakov)
9.3010.30 
P. Wojtaszczyk,
Projections and nonlinear approximation in the space _{} 
10.4011.40

V. Temlyakov, Nonlinear methods in the trigonometric approximation 
Coffee break 

12.0512.50 
V. Protassov, Refinement
equations and corresponding linear operators 
12.5513.40 
H. Mhaskar, Analysis of data at scattered sites on
the sphere 
Session (A): WAVELETS (Chairman: I. Novikov)
15.3016.15 
V. Malozemov, AhmedRao bases and wavelet
expansions (joint presentation with A. Korovkin and S. Masharsky) 
16.2016.40 
I.
Kozlov, Waveletbased algorithms for pattern recognition 
16.4517.05 
A. Askari Hemmat, Polynomial wavelettype
expansions on the sphere (joint presentation with M. Skopina) 
Coffee break 

17.3017.50 
Yu. Farkov, On the construction of orthogonal
wavelets 


Session (D): RELATED TOPICS (Chairman: Z. Ditzian)
15.3015.50 
T. Toradze, Maxima values of sums of Fourier coefficients of characteristic functions 
15.5516.15 
V. Ovchinnikov, On description of interpolation
orbits 
16.2016.40 
O.
Reinov, Approximation properties AP(l_p) and
l_pfactorizations of operators 
16.4517.05 
A.
Brudni, Tangential markov Inequalities on exponential curves 
Coffee break 

173017.50 
S.
Rzaev, Approximation theory on compact groups 
17.5518.15 
O. Kuznetsova, Spherical convergence in L of
special multiple trigonometric series 
Special Session on Bivariate Splines (Chairman: Z. Ziegler)
15.3016.00 
Yu. Demyanovich, Finiteelement approximation on manifolds 
16.0516.35 
H. Strauss, Interpolation and Approximation with Splines and related Functions 
16.4017.10 
A. Shumeiko, Nearly interpolation spline of two variable and their application (joint presentation with V. Babenko and A. Ligun) 
Coffee break 

17.4018.10

A. Bejancu, Semicardinal interpolation with boxsplines on the threedirection mesh 
18.1518.45

J. Kobza, Mean values interpolating quadratic splines 
19.30 
BANQUET

July 6, Sunday
Euler International Mathematical Institute
Session (A): WAVELET METHODS (Chairman: V. Temlyakov)
165517.15 
M.
Perel, Localized Solution of the Wave Equation as a Mother Wavelet (joint
presentation with M. Sidorenko) 
17.2017.40 
M. Toma, Problems of generating wavelets similar
to test functions 
17.5018.10

M. Laaksonen, Wavelet
based seasonal adjustment and business cycles 
18.1518.35 
V. Zakharov, Building wavelets and framelets
adapted to differential operators (joint presentation with O. Ipanov) 
Session (C): ENGINEERING APPLICATIONS
(Chairman: V. Katkovnik)
16.3016.50 
M. Lo Cascio, Wavelets and spline for vertical scratches removal in old images 
16.5517.15 
L. Novikov, Wavelet expansions with uncorrelated
scaling coeffcients (joint presentation with M. Skopina) 
17.2017.40 
A. Krotov, Waveletbased video codec 
17.5018.10

M. Smirnov, Realization of algorithm of
compensation of noises with dissimmetrical spectrum using DSP TMS320C6414 
18.1518.35

I. Khalidov, Adaptive video compression based on
wavelet transforms 
Special Session on Bivariate Splines (Chairman: H. Strauss)
16.3017.00 
P. Costantini, On a new class of spline functions 
17.0517.35 
P. Sablonniere, Scale equation and subdivision
algorithm for quadratic Bsplines on nonuniform crisscross triangulations 
17.4018.10 
C. Manni, Quasiinterpolantion on PowellSabin
Portitions (joint presentation with P. Sablonniere) 
18.1518.45 
C. Dagnino, Error analysis for quadratic spline
quasiinterpolants on non uniform crisscross triangulations of bounded
rectangular domains (joint presentation with P. Sablonniere) 
Coffee break
Special lecture "Memoirs of Kolmogorov"
19.1519.45 
V. Videnskii 
July 7, Monday
Euler International Mathematical Institute
Plenary Session (Chairman: P. Wojtaszczyk)
93010.30 
B. Kashin, Frames as a part of orthogonal series theory 
10.4011.25 
N. Chernykh, Orthogonal wavelets bases of _{} and there approximate
properties 
Coffee break 

12.0012.45

V. Zhuk, Precise Jacksontype inequalities for
linear methods of spline approximation of differentiable functions (joint
presentation with O. Vinogradov) 
12.5013.35 
V. Olshevsky, Potpourri on fast algorithms 
Session (A): WAVELETS (Chairman: N. Dyn)
15.3016.15 
M. Skopina, Periodic wavelets 
16.2016.40 
R. Khabibouline, Polynomial Schauder bases for the
space C[1,1] with a generalized Chebyshev orthogonality 
16.4517.05 
D. Tanana, Convergence speed of Fourier series on
Y. Meyer's wavelet system in spaces _{} 
Coffee break 

17.4018.00

L. Pezza, Recent results on refinable bases on the
interval and applications (joint presentation with L. Gori and E. Santi) 
18.0518.25

I. Maximenko, Nonseparate wavelets for two
channel system 
18.3018.50

M. Dehghan, Generalized Symmetric Frames 
Session (C): ENGINEERING APPLICATIONS
(Chairman: M. Tchobanou)
15.3015.50 
G. Por, Filtering with wavelet causes aliasing is spectral estimation of signal processing 
15.5516.15 
A. Gotchev, Optimization Techniques in Designing
Piecewise Polynomial Interpolators of Minimal Support (joint presentation
with K. Egiazarian) 
Coffee break
Session (D): RELATED TOPICS (Chairman: V. Ovchinnikov)
17.4018.00 
S. De Marchi, Numerical experiments on bivariate polynomial interpolation at new nodal sets (a joint work with M.Caliary and M.Vianello) 
18.0518.25 
H. Akca, Discrete Counterparts of Continuoustime
Additive 
Special Session on Bivariate Splines (Chairman: P. Sablonniere)
15.3016.00 
C. Conti, On a new class of bivariate convolved refinable bases (joint presentation with L. Gori) 
16.0516.35 
F. Zeilfelder, Data Interpolation by Splines on Triangulations 
16.4017.10

A. Sestini, Local Hybrid Approximation for Scattered Data Fitting based on Splines (joint presentation with O. Davydov) 
Coffee break 

17.4018.10

O. Davydov, Approximation of scattered data by direct extension of local approximations 