Journal of Mathematical Sciences, The University of Tokyo 8(4) 609-688 2001年
Let and with . We realize as a closed subgroup of , so that forms a semisimple symmetric pair of rank one. For irreducible representations and of and respectively, w...
Journal of Mathematical Sciences, The University of Tokyo 4(3) 663-727 1997年
We shall present an explicit formula of ""generalized"" spherical functions on with respect to its reductive spherical subgroup , which can be considered to be a real analogue of the Whittaker-Shintani functio...