A Bochner Type Theorem for Inductive Limits of Gelfand Pairs

Mathematics – Group Theory

Scientific paper

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17 pages, To appear in Annales de l'Institut Fourier, Volume 58, 2008

Scientific paper

In this paper we prove a generalisation of Bochner's theorem. Our result
deals with Olshanski's spherical pairs defined as inductive limits of
increasing sequences of Gelfand Pairs.

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