書(shū)目名稱 | Harmonic Analysis and Boundary Value Problems in the Complex Domain | 編輯 | Mkhitar M. Djrbashian | 視頻video | http://file.papertrans.cn/425/424263/424263.mp4 | 叢書(shū)名稱 | Operator Theory: Advances and Applications | 圖書(shū)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 | 關(guān)鍵詞 | 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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