Tauberian Theory pdf epub mobi txt 电子书下载 2024

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Jacob Korevaar

Springer

2004-07-27

501

USD 109.00

Hardcover

9783540210580

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发表于2024-11-23

Tauberian Theory epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Tauberian Theory pdf epub mobi txt 电子书下载 2024

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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 下载 mobi epub pdf txt 电子书