Borel's Methods of Summability: Theory and Applications - Couverture rigide

Shawyer, Bruce L. R.; Watson, Bruce

Couverture rigide

ISBN 10 : 0198535856 ISBN 13 : 9780198535850

Editeur : Clarendon Press, 1994

Synopsis

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.

A propos du livre

Revue de presse

The treatment is careful and clear throughout. The Book will be a valuable work of reference in its field for many years to come. Mathematical Reviews

The book is written in a very informative style providing proofs where they support the understanding and referring to the literature for technical details and further study; the reader will very soon notice and appreciate the authors' thorough way of referencing. (W Beekmann, Zentrallblatt for Mathematik, Band 840/96.)

Détails de l'édition

• Éditeur: Clarendon Press
• Date d'édition: 1994
• Langue: anglais
• ISBN 10: 0198535856
• ISBN 13: 9780198535850
• Reliure: Relié
• Nombre de pages: 254
• Coordonnées du fabricant: Oxford University Press; https://corp.oup.com/; ; WMF Platz 1; Geislingen/Steige; Baden-W?rttemberg; 73312; Allemagne