An introduction to Operators on the Hardy-Hilbert Space
Martínez-Avendano, Ruben A
An introduction to Operators on the Hardy-Hilbert Space / Rubeen A Martínez-Avendanno - New York, . :Springer, ©2007. - xii, 220p. 24cm. - Graduate texts in mathematics, 237. .
Introduction --
The Unilateral Shift and Factorization of Functions --
Toeplitz Operators --
Hankel Operators --
Composition Operators --
Further reading --
References --
Notation Index --
Author Index --
Subject Index.
"The subject of this book is operator theory on the Hardy space H[superscript 2], 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."--Jacket
9780387354187
Brijwasi Book Distributors :H-87, Lalita Park laxmi Nagar Delhi 110092 Zafaa Books & Distributors :313/56F 49A, Anand Nagar Inderlok Delhi 110035
Mathematics
Analysis
Operator theory.
Hardy spaces.
Hardy, Espaces de.
Hilbert-Raum
Hankel Operators
515.733 MAR
An introduction to Operators on the Hardy-Hilbert Space / Rubeen A Martínez-Avendanno - New York, . :Springer, ©2007. - xii, 220p. 24cm. - Graduate texts in mathematics, 237. .
Introduction --
The Unilateral Shift and Factorization of Functions --
Toeplitz Operators --
Hankel Operators --
Composition Operators --
Further reading --
References --
Notation Index --
Author Index --
Subject Index.
"The subject of this book is operator theory on the Hardy space H[superscript 2], 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."--Jacket
9780387354187
Brijwasi Book Distributors :H-87, Lalita Park laxmi Nagar Delhi 110092 Zafaa Books & Distributors :313/56F 49A, Anand Nagar Inderlok Delhi 110035
Mathematics
Analysis
Operator theory.
Hardy spaces.
Hardy, Espaces de.
Hilbert-Raum
Hankel Operators
515.733 MAR
