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Tauberian Theory
Jacob Korevaar
€ 166.36
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Description for Tauberian Theory
Hardcover. 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 a new unified theory for Borel and "circle" methods. Series: Die Grundlehren der Mathematischen Wissenschaften. Num Pages: 498 pages, biography. BIC Classification: PBK. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 234 x 156 x 26. Weight in Grams: 1940.
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. ... Read more
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. ... Read more
Product Details
Publisher
Springer
Format
Hardback
Publication date
2004
Series
Die Grundlehren der Mathematischen Wissenschaften
Condition
New
Number of Pages
483
Place of Publication
Berlin, Germany
ISBN
9783540210580
SKU
V9783540210580
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Jacob Korevaar
Education: Universities of Leiden and Utrecht, Mathematics and Physics, 1940--49 (with war-time interruptions) Ph.D. in Mathematics, Leiden, 1949 Regular professorships (Mathematics) Technical University Delft (Netherlands), 1951-(Jan)1953 University of Wisconsin (Madison), (Feb)1953--64 (Chairman, Program in Applied Mathematics and Engineering Physics, 1956--61) University of California San Diego (La Jolla), 1964--74 (Chairman, Dept of Mathematics, ... Read more
Reviews for Tauberian Theory
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 distributional aspects ... . the book carefully collects a rich amount of material on this topic. ... ... Read more