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Completeness and Basis Properties of Sets of Special Functions

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ISBN-10: 0521604885

ISBN-13: 9780521604888

Edition: 2004

Authors: J. R. Higgins, B. Bollobas, W. Fulton, A. Katok, F. Kirwan

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Description:

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…    
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Book details

List price: $49.99
Copyright year: 2004
Publisher: Cambridge University Press
Publication date: 6/3/2004
Binding: Paperback
Pages: 148
Size: 5.25" wide x 8.50" long x 0.50" tall
Weight: 0.440
Language: English

Preface
Foundations
Orthogonal sequences
Non-orthogonal sequences
Differential and integral operators
Appendix
Bibliography
Subject index