Tensor products forSL2(𝒦). I. Complementary series and the special representation

Charles Asmuth, Joe Repka
1981 Pacific Journal of Mathematics  
We obtain the decomposition of the tensor product of two irreducible unitary representations of SL 2 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.
doi:10.2140/pjm.1981.97.271 fatcat:kpxtjnglnnbyngwwykwheyajhe