Paley-Wiener-type theorem for polynomial ultradifferentiable functions
نویسندگان
چکیده
منابع مشابه
Trace Paley - Wiener Theorem
w Statement of the theorem 1.1. Let G be a reductive p-adic group. A smooth representation (~', E) of the group G on a complex vector space E is called a G-module. Usually we shorten the notation and write w or E. Let d~(G) be the category of G-modules, Irr G the set of equivalence classes of irreducible G-modules, and R (G) the Grothendieck group of G-modules of fnite length; R(G) is a free ab...
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on 11temp (G(F)) . The object of this note is to characterize the image of the map. Results of this nature are well known. The case of the Hecke algebra on G(F), which is in fact more difficult, was established in [3] and [5]. A variant of the problem for the smooth functions of compact support on a real group was solved in [4]. For the Schwartz space, one has a choice of several possible appro...
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ژورنال
عنوان ژورنال: Carpathian Mathematical Publications
سال: 2015
ISSN: 2313-0210,2075-9827
DOI: 10.15330/cmp.7.2.271-279