Spectral Theory of Automorphic Functions, Volume 153 |
Contents
INTRODUCTION | 1 |
CHAPTER 1 | 11 |
CHAPTER 2 | 19 |
CHAPTER 3 | 43 |
CHAPTER 4 | 63 |
CHAPTER 5 | 81 |
CHAPTER 6 | 97 |
CHAPTER 7 | 149 |
| 161 | |
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Common terms and phrases
absolutely convergent analogous arbitrary arithmetic groups asymptotic behavior asymptotic formula automorphic functions bounded Chapter classes y}r commensurable compact conjugacy classes consider continuous spectrum defined definition denote Dirichlet discrete spectrum domain F dµ(z eigenvalues Eisenstein series element elliptic equality estimate expansion in eigenfunctions Faddeev finite fixed following properties following theorem Fuchsian group function h function h(s(1 functional equation fundamental domain half-plane Res Hecke operator Hilbert-Schmidt operator hyperbolic integral operator kernel b(z Lemma M₂ Maass-Selberg relation nontrivial notation operator B(s parabolic poles proof is complete prove regular polygon resolvent R(s Roelcke Roelcke's conjecture satisfies scalar theory scattering matrix Selberg trace formula Selberg zeta-function selfadjoint singular points space spectral theory spectrum of A(T subgroup subspace Suppose T₁ T₂ theorem on expansion theory of automorphic Weyl-Selberg formula zero ZM(s Σ Σ оператора Сельберга