Borel's Methods of Summability: Theory and Application (Oxford Mathematical Monographs) - Hardcover

Shawyer, Watson; Watson, Bruce B.; Shawyer, Bruce L.

 
9780198535850: Borel's Methods of Summability: Theory and Application (Oxford Mathematical Monographs)
Hardcover
ISBN 10: 0198535856 ISBN 13: 9780198535850
Verlag: OUP Oxford, 1994

Inhaltsangabe

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.

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Verlag
OUP Oxford
Erscheinungsdatum
1994
Sprache
Englisch
ISBN 10 
0198535856
ISBN 13 
9780198535850
Einband
Gebundene Ausgabe
Anzahl der Seiten
256
Kontakt zum Hersteller
preigu GmbH & Co. KG
mail@preigu.de

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