{"product_id":"harmonic-analysis-and-boundary-value-problems-in-the-complex-domain-9783034896740","title":"Harmonic Analysis and Boundary Value Problems in the Complex Domain","description":"\u003cp\u003e • Author(s): M. M. Djrbashian\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Birkhauser\u003cbr\u003e • BISAC: General\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eAs 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 \u0026gt; 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.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45282621620375,"sku":"9783034896740","price":3672.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783034896740.webp?v=1769302687","url":"https:\/\/atlanticbooks.com\/products\/harmonic-analysis-and-boundary-value-problems-in-the-complex-domain-9783034896740","provider":"Atlantic Books","version":"1.0","type":"link"}