Vol. 109, No. 1, 1983

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ISSN: 0030-8730
Harmonic analysis of spherical functions on reductive groups over p-adic fields

Marko Tadić

Vol. 109 (1983), No. 1, 215–235
Abstract

We introduce spaces 𝒞γ(G,K), 0 < γ 2, of rapidly decreasing K-bi-invariant functions on a reductive p-adic group G where K is a maximal compact subgroup of G, and we study spherical transformations on these spaces. The image of 𝒞γ(G,K) under spherical transformation is completely described when K is a standard maximal compact subgroup of G.

Mathematical Subject Classification 2000
Primary: 43A90
Secondary: 22E35, 22E50
Milestones
Received: 10 October 1981
Published: 1 November 1983
Authors
Marko Tadić
University of Zagreb
United States