In the issue some papers in modern complex and linear analysis are collected. Mainly, problems of operator theory, function theory and their special applications are discussed. As usually, the traditional problems of the St.Petersburg scientific school are of special interest, such as the theory of various classes of functions on the disc or semi-plane, and some problems reflecting the relationship between the function theory and operator theory.

**Aleksandrov A. B.**On a uniqueness theorem for functions with a sparse spectrum ....... 7 (.ps.gz)**Vasin A. V.**Polyanalytic forms on compact Riemann surfaces ....... 15 (.ps.gz)**Vinogradov O. L.**The sharp constant in the estimate of the Rogozinski sums deviation in the terms of the second modulus of continuity in the space of continuous periodic functions ....... 26 (.ps.gz)**Gokhman A. O.**Invariants of class $C^k$ of finite Coxeter groups and their representation in terms of anisotropic spaces ....... 46 (.ps.gz)**Kapustin V. V.**Characteristic functions and their factorizations ....... 71 (.ps.gz)**Kislyakov S. V.**Operators (not) similar to a contraction Pisier's counterexample via singular integrals ....... 79 (.ps.gz)**Krugljak N. Ya.**Quantitative theorems on Whitney type coverings ....... 96 (.ps.gz)**Labsker L. G.**Test closure operations in a Banach space that are generated by linear functionals ....... 114 (.ps.gz)**Oleinik V. L.**Carleson measures and the heat equation ....... 146 (.ps.gz)**Parfenov O. G.**Nuclearity of imbedding operators of Sobolev classes into weighted spaces ....... 156 (.ps.gz)**Parfenov O. G., Slupko M. V.**Bernstein widths of embedding operators of Lebesgue spaces ....... 166 (.ps.gz)**Petrov A. N.**On a method of constructing conditional bases of exponentials in some Banach spaces of analytic functions ....... 170 (.ps.gz)**Roginskaya M. M.**Two analogs of the theorem of Rudin--Carleson ....... 200 (.ps.gz)**Ronkin L. I.**Almost periodic distributions in a tube domain ....... 210 (.ps.gz)**Sloushch V. A.**Discrete spectrum in the spectral gaps of a selfadjoint operator for unbounded perturbations ....... 237 (.ps.gz)**Fricain E.**Uniqueness theorems for analytic vector-valued functions ....... 242 (.ps.gz)**Shamoyan F. A., Yaroslavtseva O. V.**Continuous projections, duality and the diagonal mapping in weighted spaces of holomorphic functions with mixed norm ....... 268 (.ps.gz)**Shirokov N. A.**Concerning an analog of the Stolz angle for the unit ball in $\Bbb C^n$ ....... 276 (.ps.gz)**Reviews**....... 298 (.ps.gz)-
**Paging: 304 pp.** -
**Language: Russian**

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