Introduction to Hilbert Space

Name: Introduction to Hilbert Space
Availability: InStock
ISBN: 9780521337175

ISBN-10: 0521337178

ISBN-13: 9780521337175

Edition: 1988

Authors: N. Young

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Description:

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…

Book details

List price: $90.99
Copyright year: 1988
Publisher: Cambridge University Press
Publication date: 7/21/1988
Binding: Paperback
Pages: 250
Size: 5.98" wide x 9.02" long x 0.59" tall
Weight: 1.100
Language: English



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