Vol. 97, No. 2, 1981

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ISSN: 0030-8730
Tensor products for SL2(𝒦). I. Complementary series and the special representation

Charles A. Asmuth and Joe Repka

Vol. 97 (1981), No. 2, 271–282
Abstract

We obtain the decomposition of the tensor product of two irreducible unitary representations of SL2 of a local field in the case when at least one of them is the special representation or in the complementary series. This is done by considering the analytic continuation of the unitary principal series.

Mathematical Subject Classification 2000
Primary: 22E50
Milestones
Received: 10 October 1979
Published: 1 December 1981
Authors
Charles A. Asmuth
Joe Repka