Name: Completeness and Basis Properties of Sets of Special Functions Paperback (Cambridge Tracts in Mathematics) (en Inglés)
Price: 33020.00 CLP
Availability: InStock
Author: Higgins, J. R.
ISBN: 9780521604888

portada Completeness and Basis Properties of Sets of Special Functions Paperback (Cambridge Tracts in Mathematics) (en Inglés)

Formato

Libro Físico

Autor

J. R. Higgins

Editorial

Cambridge University Press

Año

2004

Idioma

Inglés

N° páginas

148

Encuadernación

Tapa Blanda

Dimensiones

21.6 x 14.0 x 0.9 cm

Peso

0.20 kg.

ISBN

0521604885

ISBN13

9780521604888

Categorías

Algebra
Cálculo diferencial y ecuaciones

Completeness and Basis Properties of Sets of Special Functions Paperback (Cambridge Tracts in Mathematics) (en Inglés)

J. R. Higgins (Autor) · Cambridge University Press · Tapa Blanda

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Reseña del libro "Completeness and Basis Properties of Sets of Special Functions Paperback (Cambridge Tracts in Mathematics) (en Inglés)"

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.