2003/04/22 by Patrick Delorme
Mathematics · #math.RT #msc:22E46 #msc:22F30 #msc:22E30 #msc:22E50 #msc:33C67
published as Proceedings of the ICM, Beijing 2002, vol. 2, 545--554
arxiv created 2003/04/22 · arxiv updated 2009/11/30
Let G be a reductive group in the Harish-Chandra class e.g. a connected semisimple Lie group with finite center, or the group of real points of a connected reductive algebraic group defined over \R. Let σ be an involution of the Lie group G, H an open subgroup of the subgroup of fixed points of σ. One decomposes the elements of L2(G/H) with the help of joint eigenfunctions under the algebra of left invariant differential operators under G on G/H.