%0 Journal Article
%T Inverse Satake transforms
%A Yiannis Sakellaridis
%J Mathematics
%D 2014
%I arXiv
%X Let H be a split reductive group over a local non-archimedean field, and let H^ denote its Langlands dual group. We present an explicit formula for the generating function of an unramified L-function associated to a highest weight representation of the dual group, considered as a series of elements in the Hecke algebra of H. This offers an alternative approach to a solution of the same problem by Wen-Wei Li. Moreover, we generalize the notion of "Satake transform" and perform the analogous calculation for a large class of spherical varieties.
%U http://arxiv.org/abs/1410.2312v2