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SOME NONINVARIANT DISTRIBUTIONS
THE TRACE FORMULA
5 other sections not shown
absolute convergence antidominant archimedean places associated regular functions Assume automorphic representations base change compactly supported function compatible with multipliers conjugacy classes constant terms Corollary cuspidal cyclic defined definition denote discrete spectrum distributions elementary functions endoscopic field extension finite set fs and f>s function f geometric expansion Given GL(n global field hence induced infinitesimal characters inner forms intertwining operators invariant irreducible isomorphism K-finite Kottwitz L-functions L(Af Lab2 Langlands lemma Let F Levi subgroup Levi subset minimal Levi ML(F Mo(F multipliers at archimedean norm map normalizing factors numbers occurs discretely pairs of functions pairs of strongly parabolic subgroup parabolic subset Proof Proposition prove rationally strongly associated regular elements restriction set of places smooth compactly supported spectral expansion stable conjugacy stably conjugate strongly associated functions strongly associated regular theorem trace formula unramified character unramified Hecke algebra vanish weak base change weighted characters weighted orbital integrals Weyl group