Generalized spherical functions on reductive $p$-adic groups
نویسندگان
چکیده
منابع مشابه
GENERALIZED SPHERICAL FUNCTIONS ON REDUCTIVE p-ADIC GROUPS
Let G be the group of rational points of a connected reductive p-adic group and let K be a maximal compact subgroup satisfying conditions of Theorem 5 from Harish-Chandra (1970). Generalized spherical functions on G are eigenfunctions for the action of the Bernstein center, which satisfy a transformation property for the action of K. In this paper we show that spaces of generalized spherical fu...
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Let ψ be a smooth character of a closed subgroup, H, of a reductive p-adic group G. If P is parabolic subgroup of G such that PH is open in G, we define the constant term of every smmoth fubction on G which transforms by ψ under the right action of G. The example of mixed models is given: it includes symmetric spaces and Whittaker models. In this case a notion of cuspidal function is defined an...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2004
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-04-03604-9