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Algebraic and arithmetic results
2 Automorphic forms
Inequalities Statement of the main lemma
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ammLe analytic continuation analytic subgroup arithmetic subgroup automorphic forms bijection bounded Cartan subalgebra Choose chsu compact set compact subset conjugate connected component corollary of Lemma cuspidal groups cuspidal subgroup defined domain with respect Eisenstein series element h exists finite subset finite-dimensional functions f Hence holomorphic function isomorphism K-finite Langlands Langlands decomposition Lemma Lemma 60 Let P,A Lie algebra linear llxll mapping mincuspidal pair nheT notation pair of G parabolic subgroup prove r/rnp rank F Re(z real number representation resp seminorm set of representatives Siegel domain space split component subgroup of G subset of G subspace sxth Theorem thXw veha Weyl group x e G