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Více informací o knize Borel's Methods of Summability

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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Number theory

• Plný název: Borel's Methods of Summability
• Podnázev: Theory and Applications
• Autor: Bruce L.R. Shawyer, Bruce B. Watson, Bruce B. Waton
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 254
• EAN: 9780198535850
• ISBN: 0198535856
• ID: 04527467
• Nakladatelství: Oxford University Press
• Hmotnost: 556 g
• Rozměry: 241 × 162 × 19 mm
• Datum vydání: 14. July 1994

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