Autor:	Glockner, Helge, Lucht, Lutz G.
Rok vydání:	2011
Předmět:	Mathematics - Functional Analysis 30B50 (Primary) 11M41 30J99 43A20 43A40 46J15
Druh dokumentu:	Working Paper
Popis:	Inversion theorems of Wiener type are essential tools in analysis and number theory. We derive a weighted version of an inversion theorem of Wiener type for general Dirichlet series from that of Edwards from 1957, and we outline an alternative proof based on the duality theory of convex cones and extension techniques for characters of semigroups. Variants and arithmetical applications are described, including the case of multidimensional weighted generalized Dirichlet series. Comment: 19 pages; v2: exposition improved, some results extended (e.g. to multidimensional semigroups which need not be of product type)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1112.0749 Zobrazit plný text záznamu View this record from Arxiv