1549380232-Automorphic_Forms_and_Applications__Sarnak_

Contents

Preface

Introduction

Armand Borel, Automorphic Forms on Reductive Groups

Introduction

1. Notation


2. Notion of automorphic form


3. First properties of automorphic forms


4. Reductive groups (review)


5. Arithmetic subgroups. Reduction theory


6. Constant terms. The basic estimate


7. Finite dimensionality of A(r, J, ~)


8. Convolut ion operators on cuspidal functions


9. Automorphic forms and the regular representation on f\G


10. A decomposition of the space of automorphic forms.


11. Some estimates of growth functions

12. E isenstein series

Bibliography

L. Clozel, Spectral Theory of Automorphic Forms

Foreword

Lecture l. Mostly 81(2)

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