Complex Analysis, Operators, and Related Topics: The S. A. Vinogradov Memorial Volume

Complex Analysis, Operators, and Related Topics: The S. A. Vinogradov Memorial Volume

Paperback(Softcover reprint of the original 1st ed. 2000)

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Product Details

ISBN-13: 9783034895415
Publisher: Birkhäuser Basel
Publication date: 10/23/2012
Series: Operator Theory: Advances and Applications , #113
Edition description: Softcover reprint of the original 1st ed. 2000
Pages: 408
Product dimensions: 6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

Stanislav Aleksandrovich Vinogradov, his life and mathematics.- List of publications of S.A.Vinogradov.- Interpolation problems for analytic functions continuous in the closed disk and for functions whose sequence of coefficients is inlp.- Free interpolation in spaces of analytic functions.- Contributed Papers.- On embedding theorems for coinvariant subspaces of the shift operator, I.- Continuous and compact embeddings between star-invariant subspaces.- Rational functions in Bergman spaces.- S. A. Vinogradov, as I remember him.- The Bellman functions and sharp weighted inequalities for square functions.- Multiplicative chaos and multimeasures.- Some remarks to problems of approximation with prescribed rate.- Interpolation involving bounded bianalytic functions.- Carleson’s interpolation theorem deduced from a result of Pick.- A–?zero sets: new methods and techniques.- Interpolation sets for the Hölder spaces of functions analytic in a strip.- Scattering problem with physical behavior of scattering matrix and operator relations.- Spectra of inner functions andlp-multipliers.- The theorem on three spheres for harmonic differential forms.- Traces and extensions of multipliers in pairs of Sobolev spaces.- Complete version of Turan’s lemma for trigonometric polynomials on the unit circumference.- Ball, Haagerup, and distribution functions.- Carleson measures of Bergman spaces in domains with nonsmooth boundary.- On the zeros of tails of power series.- Regularity conditions for vectorial stationary processes.- The Friedrichs operator of a planar domain.- Parametrical representations of some classes of holomorphic functions in the disk.- Double power series and reproducing kernels.- Outer functions in yet another class of analytic functions.- Estimates for the approximation numbers of the weighted Riemann-Liouville operator in the spacesLp.- Special transformations of Cauchy type integral spaces.- A dimension-free Carleson measure inequality.- Carleman formula for some spaces of functions analytic in the disk and smooth in its closure.

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