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Completeness and Basis Properties of Sets of Special Functions (Cambridge Tracts in Mathematics) free ebook download

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Author(s):	J. R. Higgins

Date:	1977	Format:	pdf	Language:	English	ISBN/ASIN:	0521213762
Pages:	1	OCR:		Quality:		ISBN13:
Uploader:	tvladb77	Upload Date:	12/5/2021 6:58:15 PM

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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.

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Tags: Basis Cambridge Completeness Functions Mathematics Properties Sets Special Tracts

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Completeness and Basis Properties of Sets of Special Functions (Cambridge Tracts in Mathematics) free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics