Synopsis
Presents methods for testing sets of special functions for completeness and basis properties, mostly in L2 and L2 spaces.
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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.
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Completeness and Basis Properties of Sets of Special Functions
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Completeness and Basis Properties of Sets of Special Functions
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COMPLETENESS AND BASIS PROPERTIES OF SETS OF SPECIAL FUNCTIONS
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Cambridge University Press, 2004
ISBN 10: 0521604885
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Completeness and Basis Properties of Sets of Special Functions (Cambridge Tracts in Mathematics, Series Number 72)
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Cambridge University Press, 2004
ISBN 10: 0521604885
ISBN 13: 9780521604888
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Completeness and Basis Properties of Sets of Special Functions
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ISBN 10: 0521604885
ISBN 13: 9780521604888
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Paperback. Condition: New. 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. Seller Inventory # LU-9780521604888
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Completeness and Basis Properties of Sets of Special Functions (Paperback)
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Cambridge University Press, Cambridge, 2004
ISBN 10: 0521604885
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Paperback. Condition: new. Paperback. 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. 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. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521604888
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Completeness and Basis Properties of Sets of Special Functions
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Completeness and Basis Properties of Sets of Special Functions (Cambridge Tracts in Mathematics, Series Number 72)
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ISBN 10: 0521604885
ISBN 13: 9780521604888
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Completeness: 72 (Cambridge Tracts in Mathematics, Series Number 72)
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Cambridge University Press 2008-01-12, 2008
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Completeness: 72 (Cambridge Tracts in Mathematics, Series Number 72)
Published by
Cambridge University Press, 2008
ISBN 10: 0521604885
ISBN 13: 9780521604888
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Condition: New. Presents methods for testing sets of special functions for completeness and basis properties, mostly in L2 and L2 spaces. Series Editor(s): Bollobas, B.; Fulton, W.; Katok, A.; Kirwan, F.; Sarnak, P.; Simon, B. Series: Cambridge Tracts in Mathematics. Num Pages: 148 pages, black & white illustrations. BIC Classification: PBC; PBK. Category: (P) Professional & Vocational. Dimension: 216 x 138 x 9. Weight in Grams: 200. . 2008. paperback. . . . . Seller Inventory # V9780521604888
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