Handbook of Analytic Operator Theory

1st Edition

Kehe Zhu

Chapman and Hall/CRC
Published May 6, 2019
Reference - 360 Pages - 14 B/W Illustrations
ISBN 9781138486416 - CAT# K349470
Series: CRC Press/Chapman and Hall Handbooks in Mathematics Series

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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.


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