Tauberian Theory 2024 pdf epub mobi 电子书

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发表于2024-12-04

Tauberian Theory 2024 pdf epub mobi 电子书

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出版者:Springer

作者:Jacob Korevaar

出品人:

页数:501

译者:

出版时间:2004-07-27

价格:USD 109.00

装帧:Hardcover

isbn号码:9783540210580

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Tauberian Theory 2024 pdf epub mobi 电子书图书描述

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.</P>

Tauberian Theory 2024 pdf epub mobi 电子书

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