Completeness and Basis Properties of Sets of Special Functions (Cambridge Tracts in Mathematics, Series Number 72) - Hardcover

Higgins, J. R.

 
9780521213769: Completeness and Basis Properties of Sets of Special Functions (Cambridge Tracts in Mathematics, Series Number 72)
Hardcover
ISBN 10: 0521213762 ISBN 13: 9780521213769
Publisher: Cambridge University Press, 1977

Synopsis

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" may belong to another edition of this title.

Book 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 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

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.

"About this title" may belong to another edition of this title.

Publisher
Cambridge University Press
Publication date
1977
Language
English
ISBN 10 
0521213762
ISBN 13 
9780521213769
Binding
Hardcover
Number of pages
170

Other Popular Editions of the Same Title

9780521604888: Completeness: 72 (Cambridge Tracts in Mathematics, Series Number 72)

Featured Edition

ISBN 10:  0521604885 ISBN 13:  9780521604888
Publisher: Cambridge University Press, 2008
Softcover