Constant term of smooth $H_\psi $-spherical functions on a reductive $p$-adic group

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CONSTANT TERM OF SMOOTH Hψ-SPHERICAL FUNCTIONS ON A REDUCTIVE p-ADIC GROUP

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: 2009

ISSN: 0002-9947

DOI: 10.1090/s0002-9947-09-04925-3