Noninvariant Base Change Identities |
Common terms and phrases
absolute convergence archimedean places Assume automorphic representations base change base change identity compact subgroup compactly supported function compatible with multipliers conjugacy classes constant terms containing Mo Corollary cuspidal cyclic defined denote dim amo disc discrete spectrum elementary functions endoscopic finite set functions f ƒ³ Galois geometric expansion GL(n global field hence induced infinitesimal characters inner forms invariant irreducible K-finite Kottwitz L-functions L(AF L₁ Lab2 Langlands lemma Let F Levi subgroup Levi subset M)-families M₁ norm map normalizing factors numbers occurs discretely pairs of functions pairs of strongly parabolic subgroup parabolic subset Proof Proposition regular elements restriction set of places smooth compactly supported spectral expansion splitting formula stably conjugate strongly associated functions strongly associated regular TE/F theorem trace formula unitary unramified character unramified Hecke algebra unramified infinitesimal characters vanish weak base change weighted characters weighted orbital integrals Weyl group Σ Σ