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Tauberian theory a century of developments by Jacob Korevaar

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Published by Springer in Berlin, New York .
Written in English

Subjects:

  • Tauberian theorems,
  • Summability theory,
  • Hardy-Littlewood method

Book details:

Edition Notes

Includes bibliographical references (p. [421]-468) and index.

StatementJacob Korevaar.
SeriesGrundlehren der mathematischen Wissenschaften,, 329
Classifications
LC ClassificationsQA295 .K78 2004
The Physical Object
Paginationxv, 483 p :
Number of Pages483
ID Numbers
Open LibraryOL3314178M
ISBN 10354021058X
LC Control Number2004104246
OCLC/WorldCa54973798

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Tauberian Theory: A Century of Developments (Grundlehren der mathematischen Wissenschaften Book ) - Kindle edition by Korevaar, Jacob. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Tauberian Theory: A Century of Developments (Grundlehren der mathematischen Wissenschaften Book ).Manufacturer: Springer Berlin Heidelberg. 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 . Littlewood () described his discovery of the proof of his Tauberian theorem. Alfred Tauber 's original theorem was similar to Littlewoods, but with the stronger hypothesis that a n = o (1/ n). Hardy had proved a similar theorem for Cesàro summation with the weaker hypothesis a n =O(1/ n), and suggested to Littlewood that the same weaker. Book your driving theory test for: lorries, buses and coaches, including the Driver Certificate of Professional Competence (CPC) part 1a and 1b (theory) and part 2 (case studies) This page is.

Using the ideas of Newman and Korevaar, we prove a Tauberian theorem for Dirichlet integrals, and deduce from this a weaker version of the Wiener-Ikehara theorem. This weaker version su ces for a proof of the Prime Number Theorem for arithmetic progressions. Literature: J. Korevaar, Tauberian Theory, A century of developments, Springer Verlag ,File Size: KB. 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. 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 Price: $ Tauberian theory provides striking methods to attack hard problems in analysis. The study of Tauberian type theorems has been historically stimulated by their potential applications in diverse elds of mathematics such as number theory, combinatorics, complex analysis, probability theory, and the analysis of di erential operators [2, 5, 18, 26 File Size: KB.

  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. theorems of Tauberian type. Theorems establishing conditions which determine the set of series (or sequences) on which for two given summation methods and the inclusion holds. Most frequently in the theory of summation, the case in which method is equivalent with convergence is considered. In Tauberian theorems concerning such cases, conditions on a series (sequence) are established under. Get this from a library! Tauberian theory: a century of developments. [Jacob Korevaar] -- "Tauberian theory compares different summability methods both for series and integrals, helps to decide when there is convergence, and provides asymptotic and remainder estimates. The author shows.   One of the difficulties of Tauberian theory is that there are so many different summation methods, and potentially there would be theorems connecting each pair. The organization of the present book is very good and it manages to avoid overwhelming the reader with choices. The discussion of Wiener’s theory (Chapter II) is especially good; this.