Completeness and Basis Properties of Sets of Special Functions
Part of Cambridge Tracts in Mathematics
- Author: J. R. Higgins
- Date Published: June 2004
- availability: Available
- format: Paperback
- isbn: 9780521604888
Paperback
Other available formats:
eBook
Looking for an inspection copy?
This title is not currently available on inspection
-
This tract presents an exposition of methods for testing sets of special functions for completeness and basis properties, mostly in L2 and L2 spaces. The first chapter contains the theoretical background to the subject, largely in a general Hilbert space setting, and theorems in which the structure of Hilbert space is revealed by properties of its bases are dealt with. Later parts of the book deal with methods: for example, the Vitali criterion, together with its generalisations and applications, is discussed in some detail, and there is an introduction to the theory of stability of bases. The last chapter deals with complete sets as eigenfunctions of differential and a table of a wide variety of bases and complete sets of special functions. Dr Higgins' account will be useful to graduate students of mathematics and professional mathematicians, especially Banach spaces. The emphasis on methods of testing and their applications will also interest scientists and engineers engaged in fields such as the sampling theory of signals in electrical engineering and boundary value problems in mathematical physics.
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: June 2004
- format: Paperback
- isbn: 9780521604888
- length: 148 pages
- dimensions: 216 x 140 x 9 mm
- weight: 0.2kg
- availability: Available
Table of Contents
Preface
1. Foundations
2. Orthogonal sequences
3. Non-orthogonal sequences
4. Differential and integral operators
Appendix
Bibliography
Subject index.
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.
×