Borel's Methods of Summability - Theory and Applications (Hardcover)

Summability methods are transformations that map sequences (or functions) to sequences (or functions). A prime requirement for a "good" summability method is that it preserves convergence. Unless it is the identity transformation, it will do more: it will transform some divergent sequences to convergent sequences. An important type of theorem is called a Tauberian theorem. Here, we know that a sequence is summable. The sequence satisfies a further property that implies convergence. Borel's methods are fundamental to a whole class of sequences to function methods. The transformation gives a function that is usually analytic in a large part of the complex plane, leading to a method for analytic continuation. These methods, dated from the beginning of the 20th century, have recently found applications in some problems in theoretical physics.

General

Imprint:	Clarendon Press
Country of origin:	United Kingdom
Series:	Oxford Mathematical Monographs
Release date:	July 1994
First published:	July 1994
Authors:	Bruce L.R. Shawyer (Professor of Mathematics) • Bruce Watson (Professor of Mathematics)
Dimensions:	241 x 162 x 19mm (L x W x T)
Format:	Hardcover
Pages:	254
ISBN-13:	978-0-19-853585-0
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Books > Science & Mathematics > Mathematics > Number theory > General Promotions
LSN:	0-19-853585-6
Barcode:	9780198535850

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