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Author : Alekseĭ Georgievich Postnikov
Release : 1980
Genre : Mathematics
Kind : eBook
Book Rating : 482/5 ( reviews)
Book Synopsis Tauberian Theory and Its Applications by : Alekseĭ Georgievich Postnikov
Download or read book Tauberian Theory and Its Applications written by Alekseĭ Georgievich Postnikov. This book was released on 1980. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jacob Korevaar
Release : 2004-05-26
Genre : Mathematics
Kind : eBook
Book Rating : 580/5 ( reviews)
Book Synopsis Tauberian Theory by : Jacob Korevaar
Download or read book Tauberian Theory written by Jacob Korevaar. This book was released on 2004-05-26. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Jacob Korevaar
Release : 2013-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 250/5 ( reviews)
Book Synopsis Tauberian Theory by : Jacob Korevaar
Download or read book Tauberian Theory written by Jacob Korevaar. This book was released on 2013-03-09. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : J. van de Lune
Release : 1986
Genre : Fourier transformations
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis An Introduction to Tauberian Theory by : J. van de Lune
Download or read book An Introduction to Tauberian Theory written by J. van de Lune. This book was released on 1986. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V.S. Vladimirov
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 319/5 ( reviews)
Book Synopsis Tauberian Theorems for Generalized Functions by : V.S. Vladimirov
Download or read book Tauberian Theorems for Generalized Functions written by V.S. Vladimirov. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. The Scandal of Father G. K. Chesterton. 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
