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25 Remote Warehouse Mathematics- Differential Equations

Completeness and Basis Properties of Sets of Special Functions

by

Completeness and Basis Properties of Sets of Special Functions Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

Presents methods for testing sets of special functions for completeness and basis properties, mostly in L2 and L2 spaces.

Table of Contents

Preface; 1. Foundations; 2. Orthogonal sequences; 3. Non-orthogonal sequences; 4. Differential and integral operators; Appendix; Bibliography; Subject index.

Product Details

ISBN:
9780521604888
Editor:
Bollobas, Bela
Editor:
Fulton, W.
Editor:
Bollobas, Bela
Editor:
Fulton, W.
Author:
Kirwan, F.
Author:
Katok, A.
Author:
Bollobas, B.
Author:
Higgins, J. R.
Author:
Fulton, W.
Author:
Sarnak, P.
Publisher:
Cambridge University Press
Location:
Cambridge
Subject:
General
Subject:
Differential Equations
Subject:
General Mathematics
Subject:
Mathematics-Differential Equations
Subject:
Algebra - Abstract
Edition Description:
Trade paper
Series:
Cambridge Tracts in Mathematics
Series Volume:
72
Publication Date:
20040431
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Pages:
148
Dimensions:
5.51x8.50x.34 in. .43 lbs.

Related Subjects

Science and Mathematics » Mathematics » Algebra » Abstract Algebra
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » Differential Equations

Completeness and Basis Properties of Sets of Special Functions New Trade Paper
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$50.95 In Stock
Product details 148 pages Cambridge University Press - English 9780521604888 Reviews:
"Synopsis" by , Presents methods for testing sets of special functions for completeness and basis properties, mostly in L2 and L2 spaces.
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