Harmonic analysis of spherical functions on real reductive groups
نویسندگان
چکیده
منابع مشابه
Harmonic Analysis on Real Reductive Symmetric Spaces
Let G be a reductive group in the Harish-Chandra class e.g. a connected semisimple Lie group with finite center, or the group of real points of a connected reductive algebraic group defined over R. Let σ be an involution of the Lie group G, H an open subgroup of the subgroup of fixed points of σ. One decomposes the elements of L(G/H) with the help of joint eigenfunctions under the algebra of le...
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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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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1990
ISSN: 0001-8708
DOI: 10.1016/0001-8708(90)90061-q