Tauberian Theory : A Century of Developments

Language: English

Published by Springer, 2010

3642059198 / 9783642059193

Series: Book 132 of 184 - Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge/A Series of Modern Surveys in Mathematics

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - Tauberian theory compares summability methods for series and integrals, helps to decide when there is convergence, and provides asymptotic and remainder estimates. The author shows the development of the theory from the beginning and his expert commentary evokes the excitement surrounding the early results. He shows the fascination of the difficult Hardy-Littlewood theorems and of an unexpected simple proof, and extolls Wiener's breakthrough based on Fourier theory. There are the spectacular 'high-indices' theorems and Karamata's 'regular variation', which permeates probability theory. The author presents Gelfand's elegant algebraic treatment of Wiener theory and his own distributional approach. There is also a new unified theory for Borel and 'circle' methods. The text describes many Tauberian ways to the prime number theorem. A large bibliography and a substantial index round out the book.

Seller Inventory # 9783642059193

Title
Tauberian Theory : A Century of Developments
Author
Jacob Korevaar
Publisher
Springer
Publication year
2010
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3642059198
ISBN 13
9783642059193
Item weight
756 grams
Dimensions
235x155x28 mm
Series
Book 132 of 184: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge/A Series of Modern Surveys in Mathematics

AHA-BUCH GmbH

Einbeck, Germany

5-star seller

AbeBooks seller since August 14, 2006

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