Complex Analysis, Operators, and Related Topics

Table of Contents

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   Book Overview
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   Chapter 1 Stanislav Aleksandrovich Vinogradov, His Life and Mathematics
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   Chapter 2 List of Publications of S.A. Vinogradov
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   Chapter 3 Interpolation Problems for Analytic Functions Continuous in the Closed Disk and for Functions whose Sequence of Coefficients is in l p
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   Chapter 4 Free Interpolation in Spaces of Analytic Functions
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   Chapter 5 On Embedding Theorems for Coinvariant Subspaces of the Shift Operator. I
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   Chapter 6 Continuous and Compact Embeddings Between Star-invariant Subspaces
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   Chapter 7 Rational Functions in Bergman Spaces
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   Chapter 8 S. A. Vinogradov, As I Remember Him
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    Chapter 9 The Bellman Functions and Sharp Weighted Inequalities for Square Functions
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    Chapter 10 Multiplicative Chaos and Multimeasures
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    Chapter 11 Some Remarks to Problems of Approximation with Prescribed Rate
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    Chapter 12 Interpolation Involving Bounded Bianalytic Functions
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    Chapter 13 Carleson’s Interpolation Theorem Deduced from a Result of Pick
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    Chapter 14 A - α Zero Sets: New Methods and Techniques
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    Chapter 15 Interpolation Sets for the Hölder Spaces of Functions Analytic in a Strip
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    Chapter 16 Scattering Problem with Physical Behavior of Scattering Matrix and Operator Relations
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    Chapter 17 Spectra of Inner Functions and l p -Multipliers
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    Chapter 18 The Theorem on Three Spheres for Harmonic Differential Forms
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    Chapter 19 Traces and Extensions of Multipliers in Pairs of Sobolev Spaces
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    Chapter 20 Complete Version of Turan’s Lemma for Trigonometric Polynomials on the Unit Circumference
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    Chapter 21 Ball, Haagerup, and Distribution Functions
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    Chapter 22 Carleson Measures of Bergman Spaces in Domains with Nonsmooth Boundary
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    Chapter 23 On the Zeros of Tails of Power Series
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    Chapter 24 Regularity Conditions for Vectorial Stationary Processes
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    Chapter 25 The Friedrichs Operator of a Planar Domain
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    Chapter 26 Parametrical Representations of Some Classes of Holomorphic Functions in the Disk
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    Chapter 27 Double Power Series and Reproducing Kernels
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    Chapter 28 Outer Functions in yet Another Class of Analytic Functions
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    Chapter 29 Estimates for the Approximation Numbers of the Weighted Riemann-Liouville Operator in the Spaces L p
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    Chapter 30 Special Transformations of Cauchy Type Integral Spaces
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    Chapter 31 A Dimension-free Carleson Measure Inequality
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    Chapter 32 Carleman Formula for Some Spaces of Functions Analytic in the Disk and Smooth in its Closure