An Introduction to Operators on the Hardy-hilbert Space: 237 - Rilegato

Libro 76 di 180: Graduate Texts in Mathematics

Rosenthal, Peter; Martinez-avendano, Ruben A.

 
9780387354187: An Introduction to Operators on the Hardy-hilbert Space: 237

Sinossi

This book offers an elementary and engaging introduction to operator theory on the Hardy-Hilbert space. It provides a firm foundation for the study of all spaces of analytic functions and of the operators on them. Blending techniques from "soft" and "hard" analysis, the book contains clear and beautiful proofs. There are numerous exercises at the end of each chapter, along with a brief guide for further study which includes references to applications to topics in engineering.

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Dalla quarta di copertina

The subject of this book is operator theory on the Hardy space H2, also called the Hardy-Hilbert space. This is a popular area, partially because the Hardy-Hilbert space is the most natural setting for operator theory. A reader who masters the material covered in this book will have acquired a firm foundation for the study of all spaces of analytic functions and of operators on them. The goal is to provide an elementary and engaging introduction to this subject that will be readable by everyone who has understood introductory courses in complex analysis and in functional analysis. The exposition, blending techniques from "soft" and "hard" analysis, is intended to be as clear and instructive as possible. Many of the proofs are very elegant.

This book evolved from a graduate course that was taught at the University of Toronto. It should prove suitable as a textbook for beginning graduate students, or even for well-prepared advanced undergraduates, as well as for independent study. There are numerous exercises at the end of each chapter, along with a brief guide for further study which includes references to applications to topics in engineering.

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Altre edizioni note dello stesso titolo

9781441922533: An Introduction to Operators on the Hardy-Hilbert Space: 237

Edizione in evidenza

ISBN 10:  1441922539 ISBN 13:  9781441922533
Casa editrice: Springer, 2010
Brossura