Contents
Chapter 1. Introduction 1
Chapter 2. Preliminaries 9
Chapter 3. Preliminary analysis 25
Chapter 4. Green’s functions on GL(2, R) 33
Chapter 5. Green’s functions on GL(2,Fv) with v a non archimedean place 37
Chapter 6. Kernel functions 41
Chapter 7. Regularized periods 47
Chapter 8. Automorphic Green’s functions 55
Chapter 9. Automorphic smoothed kernels 59
Chapter 10. Periods of regularized automorphic smoothed kernels: the
spectral side 67
Chapter 11. A geometric expression of automorphic smoothed kernels 75
Chapter 12. Periods of regularized automorphic smoothed kernels: the
geometric side 91
Chapter 13. Asymptotic formulas 101
Chapter 14. An error term estimate in the Weyl type asymptotic law 111
Chapter 15. Appendix 123
Bibliography 127
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