Banach Spaces Of Analytic Functions

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Banach Spaces Of Analytic Functions

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Author : Kenneth Hoffman
language : en
Publisher: Courier Corporation
Release Date : 2014-06-10

Banach Spaces Of Analytic Functions written by Kenneth Hoffman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-10 with Mathematics categories.

A classic of pure mathematics, this advanced graduate-level text explores the intersection of functional analysis and analytic function theory. Close in spirit to abstract harmonic analysis, it is confined to Banach spaces of analytic functions in the unit disc. The author devotes the first four chapters to proofs of classical theorems on boundary values and boundary integral representations of analytic functions in the unit disc, including generalizations to Dirichlet algebras. The fifth chapter contains the factorization theory of Hp functions, a discussion of some partial extensions of the factorization, and a brief description of the classical approach to the theorems of the first five chapters. The remainder of the book addresses the structure of various Banach spaces and Banach algebras of analytic functions in the unit disc. Enhanced with 100 challenging exercises, a bibliography, and an index, this text belongs in the libraries of students, professional mathematicians, as well as anyone interested in a rigorous, high-level treatment of this topic.

Banach Spaces Of Analytic Functions

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Author : Thomas H. MacGregor
language : en
Publisher: American Mathematical Soc.
Release Date : 2008

Banach Spaces Of Analytic Functions written by Thomas H. MacGregor and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.

This volume is focused on Banach spaces of functions analytic in the open unit disc, such as the classical Hardy and Bergman spaces, and weighted versions of these spaces. Other spaces under consideration here include the Bloch space, the families of Cauchy transforms and fractional Cauchy transforms, BMO, VMO, and the Fock space. Some of the work deals with questions about functions in several complex variables.

Banach Spaces Of Analytic Functions

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Author : Kenneth Hoffman
language : en
Publisher:
Release Date : 1988

Banach Spaces Of Analytic Functions written by Kenneth Hoffman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Analisis funcional categories.

Banach Spaces Of Analytic Functions

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Author : Kenneth Hoffman
language : en
Publisher:
Release Date : 1962

Banach Spaces Of Analytic Functions written by Kenneth Hoffman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Banach spaces categories.

Banach Spaces Of Analytic Functions And Absolutely Summing Operators

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Author : Aleksander Pełczyński
language : en
Publisher: American Mathematical Soc.
Release Date : 1977-12-31

Banach Spaces Of Analytic Functions And Absolutely Summing Operators written by Aleksander Pełczyński and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977-12-31 with Mathematics categories.

This book surveys results concerning bases and various approximation properties in the classical spaces of analytical functions. It contains extensive bibliographical comments.

Banach Spaces Of Analytic Functions

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Author : J. Baker
language : en
Publisher: Springer
Release Date : 2006-11-15

Banach Spaces Of Analytic Functions written by J. Baker and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

With contributions by numerous experts

Composition Operators On Spaces Of Analytic Functions

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Author : Carl C. Cowen Jr.
language : en
Publisher: Routledge
Release Date : 2019-03-04

Composition Operators On Spaces Of Analytic Functions written by Carl C. Cowen Jr. and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-04 with Mathematics categories.

The study of composition operators lies at the interface of analytic function theory and operator theory. Composition Operators on Spaces of Analytic Functions synthesizes the achievements of the past 25 years and brings into focus the broad outlines of the developing theory. It provides a comprehensive introduction to the linear operators of composition with a fixed function acting on a space of analytic functions. This new book both highlights the unifying ideas behind the major theorems and contrasts the differences between results for related spaces. Nine chapters introduce the main analytic techniques needed, Carleson measure and other integral estimates, linear fractional models, and kernel function techniques, and demonstrate their application to problems of boundedness, compactness, spectra, normality, and so on, of composition operators. Intended as a graduate-level textbook, the prerequisites are minimal. Numerous exercises illustrate and extend the theory. For students and non-students alike, the exercises are an integral part of the book. By including the theory for both one and several variables, historical notes, and a comprehensive bibliography, the book leaves the reader well grounded for future research on composition operators and related areas in operator or function theory.

Isometries On Banach Spaces

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Author : Richard J. Fleming
language : en
Publisher: CRC Press
Release Date : 2002-12-23

Isometries On Banach Spaces written by Richard J. Fleming and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-23 with Mathematics categories.

Fundamental to the study of any mathematical structure is an understanding of its symmetries. In the class of Banach spaces, this leads naturally to a study of isometries-the linear transformations that preserve distances. In his foundational treatise, Banach showed that every linear isometry on the space of continuous functions on a compact metric

Introduction To Banach Spaces Analysis And Probability

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Author : Daniel Li
language : en
Publisher: Cambridge University Press
Release Date : 2018

Introduction To Banach Spaces Analysis And Probability written by Daniel Li and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Mathematics categories.

This first volume of a two-volume overview covers the basic theory of Banach spaces, harmonic analysis and probability.

Banach Spaces Of Analytic Functions

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Author :
language : en
Publisher:
Release Date : 1977

Banach Spaces Of Analytic Functions written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Analytic functions categories.