Let G be a semisimple algebraic Lie group and H a reductive subgroup. We find geometrically the best even integer p for which the representation of G in L2(G/H) is almost Lp. As an application, we give a criterion which detects whether this representation is tempered.
[ arXiv | IHES-preprint | preprint version(pdf) ]
© Toshiyuki Kobayashi