Format:
1 Online-Ressource (x, 134 pages)
,
digital, PDF file(s).
ISBN:
9780511566189
Series Statement:
Cambridge tracts in mathematics 72
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Additional Edition:
ISBN 9780521604888
Additional Edition:
ISBN 9780521213769
Additional Edition:
ISBN 9780521213769
Additional Edition:
ISBN 9780521604888
Additional Edition:
Erscheint auch als Higgins, John R., 1935 - Completeness and basis properties of sets of special functions Cambridge [u.a.] : Cambridge Univ. Press, 1977 ISBN 0521213762
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9780521213769
Language:
English
Subjects:
Mathematics
Keywords:
Spezielle Funktion
;
Vollständigkeit
DOI:
10.1017/CBO9780511566189
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