1549380232-Automorphic_Forms_and_Applications__Sarnak_

Appendix: All reductive adelic groups a re tame This appendix^6 is a complement to our § 3.2. Assume G is a reductive group over ...

88 L. CLOZEL, SPECTRAL THEORY OF AUTOMORPHIC FORMS If 7f is an irreducible, unitary representation of G(As) it can be written as ...

Bibliography [AA] Automorphic forms, Shimura varieties, and £-functions, Proceedings of a Conference held in Ann Arbor, Clozel, ...

90 L. CLOZEL, SPECTRAL THEORY OF AUTOMORPHIC FORMS a. Cohomology of congruence subgroups of SU(2, l)P and Hodge cy- cles on some ...

BIBLIOGRAPHY 91 a. Equidistribution des points de Hecke, to appear in "Contribut ions to Automorphic Forms", Johns Hopkins Unive ...

92 L. CLOZEL, SPECTRAL THEORY OF AUTOMORPHIC FORMS [34] H.H. KIM, F. SHAHIDI.- a. Functorial products for GL 2 x GL 3 and functo ...

· BIBLIOGRAPHY 93 [46] H. OH.- Uniform pointwise bounds for matrix coefficients of unitary repre- sentations and applications to ...

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£-functions and Converse Theorems for GLn James W. Cogdell ...

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IAS /Park City Mathematics Series Volume 12 , 2002 £-functions and Converse Theorems for GLn James W. Cogdell Introdu ction The ...

98 J.W. COGDELL, £-FUNCTIONS FOR GLn integrals. In Lecture 4 we finally combine the global Eulerian integrals with the definitio ...

INTRODUCTION 99 writing a book on L-functions for GLn [17]. The contents of these notes essentially follows our outline for that ...

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LECTURE 1 Fourier expansions and multiplicity one In this section we let k denote a global field, A, its ring of adeles, and '1j ...

102 J.W. COGDELL, £-FUNCTIONS FOR GLn If VJ(g) is a smooth cusp form on GL 2 (A) then the translations correspond to the maximal ...

LECTURE l. FOURIER EXPANSIONS AND MULTIPLICITY ONE 103 Since <p is continuous and t he integration is over a compact set this ...

104 J.W. COGDELL, £-FUNCTIONS FOR GLn Now, by duality theory [96], (kn~-I) c:::'. kn-I. In fact, if we let ( , ) denote the pair ...

LECTURE 1. FOURIER EXPANSIONS AND MULTIPLICITY ONE 105 assumption to conclude that <p'(p') = L W40^1 ( (7: n p') 1'ENn-2(k)\ ...

106 J.W. COGDELL, £-FUNCTIONS FOR GLn 1.2. Whittaker Models and the Multiplicity One Theorem Consider now the functions Wcp appe ...