Borel's Methods of Summability

Name: Borel's Methods of Summability
SKU: 1857102
Price: 304.00 NZD
Availability: InStock

Theory and Applications

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Format:

Hardback

Series:

Oxford Mathematical Monographs

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Description

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.

Release date NZ

July 14th, 1994

Author

Audience

Professional & Vocational

Pages

254

Series

Oxford Mathematical Monographs

Dimensions

162x241x19

ISBN-13

9780198535850

Product ID

1857102

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