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Harmonic Analysis and Boundary Value Problems in the Complex Domain

Name: Harmonic Analysis and Boundary Value Problems in the Complex Domain
Brand: Springer Basel
SKU: 06798718
Price: 20407 HUF
Availability: InStock
Author: M. M. Djrbashian
ISBN: 9783034896740

M. M. Djrbashian

Language

English

Book Paperback

Libristo code: 06798718

Publishers Springer Basel, January 1993

As is well known, the first decades of this century were a period of elaboration of new methods in c... Full description

Libristo code: 06798718

136 b

20 407 Ft

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As is well known, the first decades of this century were a period of elaboration of new methods in complex analysis. This elaboration had, in particular, one char acteristic feature, consisting in the interfusion of some concepts and methods of harmonic and complex analyses. That interfusion turned out to have great advan tages and gave rise to a vast number of significant results, of which we want to mention especially the classical results on the theory of Fourier series in L2 ( -7r, 7r) and their continual analog - Plancherel's theorem on the Fourier transform in L2 ( -00, +00). We want to note also two important Wiener and Paley theorems on parametric integral representations of a subclass of entire functions of expo nential type in the Hardy space H2 over a half-plane. Being under the strong influence of these results, the author began in the fifties a series of investigations in the theory of integral representations of analytic and entire functions as well as in the theory of harmonic analysis in the com plex domain. These investigations were based on the remarkable properties of the asymptotics of the entire function (p, J1 0), which was introduced into mathematical analysis by Mittag-Leffler for the case J1 = 1. In the process of investigation, the scope of some classical results was essentially enlarged, and the results themselves were evaluated.