Overview
- Fully updated and revised second edition
- Explores harmonic analysis techniques for the study of the mathematical concept of Hilbert space
- Focusing mainly on operator theories and developments, the text discusses two specific operator classes
- Includes supplementary material: sn.pub/extras
Part of the book series: Universitext (UTX)
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Table of contents (10 chapters)
Keywords
About this book
This second edition, in addition to revising and amending the original text, focuses on further developments of the theory. Specifically, the last two chapters of the book continue and complete the study of two operator classes: operators whose powers do not converge strongly to zero, and operators whose functional calculus (as introduced in Chapter III) is not injective. For both of these classes, a wealth of material on structure, classification and invariant subspaces is included in Chapters IX and X. Several chapters conclude with a sketch of other developments related with (and developing) the material of the first edition.
Reviews
From the reviews of the second edition:
“The second edition, with coauthors H. Bercovici and L. Kérchy, is a revised and expanded version of the original work. The book presents a theory of contraction operators based on the notion of a minimal unitary dilation. … The second edition of Harmonic analysis of operators on Hilbert space is a timely update and enlargement of the original work. It should remain a valuable source for the theory of contraction operators for many years to come.” (J. Rovnyak, Mathematical Reviews, Issue 2012 b)Authors and Affiliations
About the authors
Bibliographic Information
Book Title: Harmonic Analysis of Operators on Hilbert Space
Authors: Béla Sz.-Nagy, Ciprian Foias, Hari Bercovici, László Kérchy
Series Title: Universitext
DOI: https://doi.org/10.1007/978-1-4419-6094-8
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+BusinessMedia, LLC 2010
Softcover ISBN: 978-1-4419-6093-1Published: 01 September 2010
eBook ISBN: 978-1-4419-6094-8Published: 26 August 2010
Series ISSN: 0172-5939
Series E-ISSN: 2191-6675
Edition Number: 2
Number of Pages: XIV, 478
Number of Illustrations: 1 b/w illustrations
Topics: Functions of a Complex Variable, Functional Analysis, Abstract Harmonic Analysis, Operator Theory