The Schwartz Space of a General Semisimple Lie Group. I. Wave Packets of Eisenstein Integrals
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چکیده
Suppose G is a semisimple Lie group with infinite center. As in the finite center case, the tempered spectrum of G consists of families of representations induced from cuspidal parabolic subgroups P = MAN. However, in the infinite center case, the representations of M to be induced are not discrete series, but are relative discrete series which occur in continuous families. In two previous papers [S, 91 we studied matrix coefficients of relative discrete series representations for a connected simple group with
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