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Handbook of Analytic Operator Theory

2019-05-10 Mathematics
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Release : 2019-05-10
Genre : Mathematics
Kind : eBook
Book Rating : 547/5 ( reviews)

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Book Synopsis Handbook of Analytic Operator Theory by : Kehe Zhu

Download or read book Handbook of Analytic Operator Theory written by Kehe Zhu. This book was released on 2019-05-10. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Analytic Operator Theory thoroughly covers the subject of holomorphic function spaces and operators acting on them. The spaces covered include Bergman spaces, Hardy spaces, Fock spaces and the Drury-Averson space. Operators discussed in the book include Toeplitz operators, Hankel operators, composition operators, and Cowen-Douglas class operators. The volume consists of eleven articles in the general area of analytic function spaces and operators on them. Each contributor focuses on one particular topic, for example, operator theory on the Drury-Aversson space, and presents the material in the form of a survey paper which contains all the major results in the area and includes all relevant references. The overalp between this volume and existing books in the area is minimal. The material on two-variable weighted shifts by Curto, the Drury-Averson space by Fang and Xia, the Cowen-Douglas class by Misra, and operator theory on the bi-disk by Yang has never appeared in book form before. Features: The editor of the handbook is a widely known and published researcher on this topic The handbook's contributors are a who's=who of top researchers in the area The first contributed volume on these diverse topics

Handbook of Analytic Operator Theory

2019-05-10 Mathematics
Download Handbook of Analytic Operator Theory PDF Online Free

Author :
Release : 2019-05-10
Genre : Mathematics
Kind : eBook
Book Rating : 539/5 ( reviews)

GET EBOOK


Book Synopsis Handbook of Analytic Operator Theory by : Kehe Zhu

Download or read book Handbook of Analytic Operator Theory written by Kehe Zhu. This book was released on 2019-05-10. Available in PDF, EPUB and Kindle. Book excerpt: This handbook concerns the subject of holomorphic function spaces and operators acting on them. Topics include Bergman spaces, Hardy spaces, Besov/Sobolev spaces, Fock spaces, and the space of Dirichlet series. Operators discussed in the book include Toeplitz operators, Hankel operators, composition operators, and Cowen-Douglas class operators

Operator Theory, Analytic Functions, Matrices, and Electrical Engineering

1987 Electronic books
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Release : 1987
Genre : Electronic books
Kind : eBook
Book Rating : 282/5 ( reviews)

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Book Synopsis Operator Theory, Analytic Functions, Matrices, and Electrical Engineering by : J. William Helton

Download or read book Operator Theory, Analytic Functions, Matrices, and Electrical Engineering written by J. William Helton. This book was released on 1987. Available in PDF, EPUB and Kindle. Book excerpt: This book expands the lectures given at a regional conference in Lincoln, Nebraska which brought together a wide variety of scientists, pure mathematicians and engineers.

Operator Theory in Function Spaces

2007 Mathematics
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Release : 2007
Genre : Mathematics
Kind : eBook
Book Rating : 659/5 ( reviews)

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Book Synopsis Operator Theory in Function Spaces by : Kehe Zhu

Download or read book Operator Theory in Function Spaces written by Kehe Zhu. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt: This book covers Toeplitz operators, Hankel operators, and composition operators on both the Bergman space and the Hardy space. The setting is the unit disk and the main emphasis is on size estimates of these operators: boundedness, compactness, and membership in the Schatten classes. Most results concern the relationship between operator-theoretic properties of these operators and function-theoretic properties of the inducing symbols. Thus a good portion of the book is devoted to the study of analytic function spaces such as the Bloch space, Besov spaces, and BMOA, whose elements are to be used as symbols to induce the operators we study. The book is intended for both research mathematicians and graduate students in complex analysis and operator theory. The prerequisites are minimal; a graduate course in each of real analysis, complex analysis, and functional analysis should sufficiently prepare the reader for the book. Exercises and bibliographical notes are provided at the end of each chapter. These notes will point the reader to additional results and problems. Kehe Zhu is a professor of mathematics at the State University of New York at Albany. His previous books include Theory of Bergman Spaces (Springer, 2000, with H. Hedenmalm and B. Korenblum) and Spaces of Holomorphic Functions in the Unit Ball (Springer, 2005). His current research interests are holomorphic function spaces and operators acting on them.

Composition Operators on Spaces of Analytic Functions

2019-03-04 Mathematics
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Release : 2019-03-04
Genre : Mathematics
Kind : eBook
Book Rating : 147/5 ( reviews)

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Book Synopsis Composition Operators on Spaces of Analytic Functions by : Carl C. Cowen, Jr.

Download or read book Composition Operators on Spaces of Analytic Functions written by Carl C. Cowen, Jr.. This book was released on 2019-03-04. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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