Composition Operators In Polydiscs

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Composition Operators In Polydiscs

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Author : Farhad Jafari
language : en
Publisher:
Release Date : 1989

Composition Operators In Polydiscs written by Farhad Jafari and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.

Studies On Composition Operators

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Author : Rocky Mountain Mathematics Consortium
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

Studies On Composition Operators written by Rocky Mountain Mathematics Consortium 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 1998 with Mathematics categories.

This book reflects the proceedings of the 1996 Rocky Mountain Mathematics Consortium conference on "Composition Operators on Spaces of Analytic Functions" held at the University of Wyoming. The readers will find here a collection of high-quality research and expository articles on composition operators in one and several variables. The book highlights open questions and new advances in the classical areas and promotes topics which are left largely untreated in the existing texts. In the past two decades, the study of composition operators has experienced tremendous growth. Many connections between the study of these operators on various function spaces and other branches of analysis have been established. Advances in establishing criteria for membership in different operator classes have led to progress in the study of the spectra, adjoints, and iterates of these operators. More recently, connections between these operators and the study of the invariant subspace problem, functional equations, and dynamical systems have been exploited.

Composition Operators On Function Spaces

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Author : R.K. Singh
language : en
Publisher: Elsevier
Release Date : 1993-11-03

Composition Operators On Function Spaces written by R.K. Singh and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-11-03 with Mathematics categories.

This volume of the Mathematics Studies presents work done on composition operators during the last 25 years. Composition operators form a simple but interesting class of operators having interactions with different branches of mathematics and mathematical physics.After an introduction, the book deals with these operators on Lp-spaces. This study is useful in measurable dynamics, ergodic theory, classical mechanics and Markov process. The composition operators on functional Banach spaces (including Hardy spaces) are studied in chapter III. This chapter makes contact with the theory of analytic functions of complex variables. Chapter IV presents a study of these operators on locally convex spaces of continuous functions making contact with topological dynamics. In the last chapter of the book some applications of composition operators in isometries, ergodic theory and dynamical systems are presented. An interesting interplay of algebra, topology, and analysis is displayed.This comprehensive and up-to-date study of composition operators on different function spaces should appeal to research workers in functional analysis and operator theory, post-graduate students of mathematics and statistics, as well as to physicists and engineers.

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.

Geometric Function Theory In Several Complex Variables Proceedings Of A Satellite Conference To The Int L Congress Of Mathematicians In Beijing 2002

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Author : Sheng Gong
language : en
Publisher: World Scientific
Release Date : 2004-09-23

Geometric Function Theory In Several Complex Variables Proceedings Of A Satellite Conference To The Int L Congress Of Mathematicians In Beijing 2002 written by Sheng Gong and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-09-23 with Mathematics categories.

The papers contained in this book address problems in one and several complex variables. The main theme is the extension of geometric function theory methods and theorems to several complex variables. The papers present various results on the growth of mappings in various classes as well as observations about the boundary behavior of mappings, via developing and using some semi group methods.

The Madison Symposium On Complex Analysis

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Author : Edgar Lee Stout
language : en
Publisher: American Mathematical Soc.
Release Date : 1992

The Madison Symposium On Complex Analysis written by Edgar Lee Stout 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 1992 with Mathematics categories.

This volume contains the proceedings of a Symposium on Complex Analysis, held at the University of Wisconsin at Madison in June 1991 on the occasion of the retirement of Walter Rudin. During the week of the conference, a group of about two hundred mathematicians from many nations gathered to discuss recent developments in complex analysis and to celebrate Rudin's long and productive career. Among the main subjects covered are applications of complex analysis to operator theory, polynomial convexity, holomorphic mappings, boundary behaviour of holomorphic functions, function theory on the unit disk and ball, and some aspects of the theory of partial differential equations related to complex analysis. Containing papers by some of the world's leading experts in these subjects, this book reports on current directions in complex analysis and presents an excellent mixture of the analytic and geometric aspects of the theory.

Canadian Journal Of Mathematics

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Author :
language : en
Publisher:
Release Date : 1990-10

Canadian Journal Of Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-10 with categories.

Canadian Journal Of Mathematics

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Author :
language : en
Publisher:
Release Date : 1990-10

Canadian Journal Of Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-10 with categories.

Geometric Function Theory In Several Complex Variables

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Author : Carl H. FitzGerald
language : en
Publisher: World Scientific
Release Date : 2004

Geometric Function Theory In Several Complex Variables written by Carl H. FitzGerald and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.

The papers contained in this book address problems in one and several complex variables. The main theme is the extension of geometric function theory methods and theorems to several complex variables. The papers present various results on the growth of mappings in various classes as well as observations about the boundary behavior of mappings, via developing and using some semi group methods.

Function Theory In The Unit Ball Of Cn

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Author : W. Rudin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Function Theory In The Unit Ball Of Cn written by W. Rudin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Around 1970, an abrupt change occurred in the study of holomorphic functions of several complex variables. Sheaves vanished into the back ground, and attention was focused on integral formulas and on the "hard analysis" problems that could be attacked with them: boundary behavior, complex-tangential phenomena, solutions of the J-problem with control over growth and smoothness, quantitative theorems about zero-varieties, and so on. The present book describes some of these developments in the simple setting of the unit ball of en. There are several reasons for choosing the ball for our principal stage. The ball is the prototype of two important classes of regions that have been studied in depth, namely the strictly pseudoconvex domains and the bounded symmetric ones. The presence of the second structure (i.e., the existence of a transitive group of automorphisms) makes it possible to develop the basic machinery with a minimum of fuss and bother. The principal ideas can be presented quite concretely and explicitly in the ball, and one can quickly arrive at specific theorems of obvious interest. Once one has seen these in this simple context, it should be much easier to learn the more complicated machinery (developed largely by Henkin and his co-workers) that extends them to arbitrary strictly pseudoconvex domains. In some parts of the book (for instance, in Chapters 14-16) it would, however, have been unnatural to confine our attention exclusively to the ball, and no significant simplifications would have resulted from such a restriction.