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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Tauberian Theory: A Century of Developments

Tauberian Theory: A Century of Developments

Korevaar, Jacob

Paperback

Series: Grundlehren Der Mathematischen Wissenschaften, Book 329

General Mathematics

ISBN10: 3642059198
ISBN13: 9783642059193
Publisher: Springer
Published: Dec 1 2010
Pages: 483
Weight: 1.54
Height: 1.01 Width: 6.14 Depth: 9.21
Language: English

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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