
An Introduction to Hilbert Space
N. Young(Author)
Cambridge University Press
Published on 21. July 1988
Book
Hardback
256 pages
978-0-521-33071-8 (ISBN)
Article exhausted; check for reprint
Description
This textbook is an introduction to the theory of Hilbert space and its applications. The notion of Hilbert space is central in functional analysis and is used in numerous branches of pure and applied mathematics. Dr Young has stressed applications of the theory, particularly to 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. It is based on courses given at the University of Glasgow and contains numerous examples and exercises (many with solutions). Thus it 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.
Reviews / Votes
' ... 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.' The Times Higher Education SupplementMore details
Language
English
Place of publication
Cambridge
United Kingdom
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 228 mm
Width: 152 mm
Thickness: 18 mm
Weight
489 gr
ISBN-13
978-0-521-33071-8 (9780521330718)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
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N. Young
An Introduction to Hilbert Space
Book
07/1988
Cambridge University Press
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N. Young
An Introduction to Hilbert Space
E-Book
07/1988
1st Edition
Cambridge University Press
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N. Young
An Introduction to Hilbert Space
Book
07/1988
Cambridge University Press
€105.40
Shipment within 15-20 days
Content
Foreword; Introduction; 1. Inner product spaces; 2. Normed spaces; 3. Hilbert and Banach spaces; 4. Orthogonal expansions; 5. Classical Fourier series; 6. Dual spaces; 7. Linear operators; 8. Compact operators; 9. Sturm-Liouville systems; 10. Green's functions; 11. Eigenfunction expansions; 12. Positive operators and contractions; 13. Hardy spaces; 14. Interlude: complex analysis and operators in engineering; 15. Approximation by analytic functions; 16. Approximation by meromorphic functions; Appendix; References; Answers to selected problems; Afterword; Index of notation; Subject index.