Tauberian Theory

Name: Tauberian Theory
Brand: Springer, Berlin
SKU: 9783642059193
Price: 716.17 RON
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A Century of Developments

Autor: Jacob Korevaar

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Legare: Carte broșată

Editura: Springer, Berlin

Disponibilitate: În depozitul extern

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

Informații despre carte

Autor

Jacob Korevaar

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2010

Pagini

483

EAN

9783642059193

ISBN

3642059198

Enbook ID

05281004

Editura

Springer, Berlin

Greutate

765

Dimensiuni

158 x 28 x 25

Descriere completă

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

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Descriere completă

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