Overview

This text consists of 30 carefully selected surveys and research papers on problems and applications of operator theory and its interplay with modern complex analysis. The book is dedicated of S.A. Vinogradov, containing a biographical note, a detailed survey of his mathematical achievements and a complete list of publications.

Full Product Details

Author:   Victor P. Havin ,  Nikolai K. Nikolski
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   2000 ed.
Volume:   113
Dimensions:   Width: 15.60cm , Height: 2.40cm , Length: 23.60cm
Weight:   0.920kg
ISBN:  

9783764362140

ISBN 10:   3764362146
Pages:   408
Publication Date:   01 January 2000
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
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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 theapproximation 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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