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Tauberian Theory : a Century of Developments

Author: Jacob Korevaar
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2004.
Series: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 329.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Jacob Korevaar
ISBN: 9783662102251 3662102250
OCLC Number: 851370322
Description: 1 online resource (xv, 486 pages).
Contents: The Hardy-Littlewood Theorems --
Wiener's Theory --
Complex Tauberian Theorems --
Karamata's Heritage: Regular Variation --
Extensions of the Classical Theory --
Borel Summability and General Circle Methods --
Tauberian Remainder Theory --
References --
Index.
Series Title: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 329.
Responsibility: by Jacob Korevaar.

Abstract:

This book traces the development of Tauberian theory, evoking the excitement surrounding the early results. The author describes the fascination of the difficult Hardy-Littlewood theorems, and offers  Read more...

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From the reviews:"The purpose of the monograph under review is to treat the principal Tauberian theorems in various categories by adopting the author's personal point of view which emphasizes the Read more...

 
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