书目名称 | Harmonic Analysis and Boundary Value Problems in the Complex Domain | 编辑 | Mkhitar M. Djrbashian | 视频video | | 丛书名称 | Operator Theory: Advances and Applications | 图书封面 |  | 描述 | 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 a | 出版日期 | Book 1993 | 关键词 | Boundary value problem; analytic function; banach spaces; boundary element method; calculus; differential | 版次 | 1 | doi | https://doi.org/10.1007/978-3-0348-8549-2 | isbn_softcover | 978-3-0348-9674-0 | isbn_ebook | 978-3-0348-8549-2Series ISSN 0255-0156 Series E-ISSN 2296-4878 | issn_series | 0255-0156 | copyright | Springer Basel AG 1993 |
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