portada Harmonic Analysis and Boundary Value Problems in the Complex Domain (en Inglés)

Harmonic Analysis and Boundary Value Problems in the Complex Domain (en Inglés)

Formato

Libro Físico

Autor

M. M. Djrbashian

Editorial

Birkhauser

Idioma

Inglés

N° páginas

258

Encuadernación

Tapa Blanda

Dimensiones

24.4x17x1.5 cm

Peso

0.44 kg.

ISBN13

9783034896740

Categorías

Enciclopedias y obras de consulta
Ciencia: cuestiones generales
Jardinería

Harmonic Analysis and Boundary Value Problems in the Complex Domain (en Inglés)

M. M. Djrbashian (Autor) · Birkhauser · Tapa Blanda

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Reseña del libro "Harmonic Analysis and Boundary Value Problems in the Complex Domain (en Inglés)"

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.