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Fourier inversion for unipotent invariant integrals
1979
Transactions of the American Mathematical Society
Consider G a semisimple Lie group and I" Ç G a discrete subgroup such that vol(G/r) < oo. An important problem for number theory and representation theory is to find the decomposition of L?(G/T) into irreducible representations. Some progress in this direction has been made by J. Arthur and G. Warner by using the Selberg trace formula, which expresses the trace of a subrepresentation of L\G/T) in terms of certain invariant distributions. In particular, measures supported on orbits of unipotent
doi:10.1090/s0002-9947-1979-0526310-9
fatcat:tuyilghwijfqtf4x7v5s7pr2du