An edition of Tauberian Theory (2010)

Tauberian Theory

A Century of Developments

Tauberian Theory
Jacob Korevaar, Jacob Korevaar
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Last edited by MARC Bot
September 29, 2024 | History
An edition of Tauberian Theory (2010)

Tauberian Theory

A Century of Developments

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.

Publish Date
Language
English

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Edition Availability
Cover of: Tauberian Theory
Tauberian Theory: A Century of Developments
2013, Springer London, Limited
in English
Cover of: Tauberian Theory
Tauberian Theory: A Century of Developments
Dec 01, 2010, Springer Berlin Heidelberg
paperback

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Book Details


Classifications

Library of Congress
QA299.6-433

The Physical Object

Pagination
xv, 483

ID Numbers

Open Library
OL37247619M
ISBN 13
9783662102251

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Better World Books record

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February 26, 2022 Edited by ImportBot import existing book
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