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An Introduction to Hilbert Space : Cambridge Mathematical Textbooks - N. Young

An Introduction to Hilbert Space

Cambridge Mathematical Textbooks

By: N. Young

Paperback

Published: 19th September 1988
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This textbook is an introduction to the theory of Hilbert spaces and its applications. The notion of a Hilbert space is a central idea in functional analysis and can be used in numerous branches of pure and applied mathematics. Dr. Young stresses these applications particularly for the solution of partial differential equations in mathematical physics and to the approximation of functions in complex analysis. Some basic familiarity with real analysis, linear algebra and metric spaces is assumed, but otherwise the book is self-contained. The book is based on courses given at the University of Glasgow and contains numerous examples and exercises (many with solutions). The book will make an excellent first course in Hilbert space theory at either undergraduate or graduate level and will also be of interest to electrical engineers and physicists, particularly those involved in control theory and filter design.

' ... the author's style is a delight. Each topic is carefully motivated and succinctly presented, and the exposition is enthusiastic and limpid ... Young has done a really fine job in presenting a subject of great mathematical elegance as well as genuine utility, and I recommend it heartily.' Times Higher Education Supplement

Foreword
Introduction
Inner product spaces
Normed spaces
Hilbert and Banach spaces
Orthogonal expansions
Classical Fourier series
Dual spaces
Linear operators
Compact operators
Sturm-Liouville systems
Green's functions
Eigenfunction expansions
Positive operators and contractions
Hardy spaces
Interlude: complex analysis and operators in engineering
Approximation by analytic functions
Approximation by meromorphic functions
Appendix
References
Answers to selected problems
Afterword
Index of notation
Subject index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521337175
ISBN-10: 0521337178
Series: Cambridge Mathematical Textbooks
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 250
Published: 19th September 1988
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.5
Weight (kg): 0.41