Tauberian Theory

Name: Tauberian Theory
Brand: Springer, Berlin
SKU: 9783642059193
Price: 136.81 EUR
Availability: InStock

A Century of Developments

Автор: Jacob Korevaar

Език:

Корици: С меки корици

Издател: Springer, Berlin

Наличност: Външен склад

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136.81 € 267.57 лв

Tauberian theory compares summability methods for series and integrals, helps to decide when there i...

Информация за книгата

Автор

Jacob Korevaar

Език

Английски език

Корици

Книга - С меки корици

Издадена

2010

страници

483

EAN

9783642059193

ISBN

3642059198

Enbook ID

05281004

Издател

Springer, Berlin

Теглоt

765

Размери

158 x 28 x 25

Пълно описание

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.

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Tauberian Theory

A Century of Developments

Информация за книгата

Пълно описание

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