-
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.
Reviews & endorsements
"...presents a very clear and elegant exposition of the basic notions of the theory of Hilbert space...It is beautiful and relatively recent mathematics..." Mathematical Reviews
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: July 1988
- format: Paperback
- isbn: 9780521337175
- length: 250 pages
- dimensions: 229 x 152 x 15 mm
- weight: 0.41kg
- availability: Available
Table of Contents
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.Instructors have used or reviewed this title for the following courses
- Functional Analysis
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×