The Selberg trace formula for PSL(R)n /

Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Efrat, Isaac Y. (Auteur)
Format: Électronique eBook
Langue:Inglés
Publié: Providence, Rhode Island : American Mathematical Society, 1987.
Collection:Memoirs of the American Mathematical Society ; Volume 65, no. 359.
Sujets:
Selberg trace formula.
Spectral theory (Mathematics)
Eisenstein series.
Formule de trace de Selberg.
Spectre (Mathématiques)
Séries d'Eisenstein.
Eisenstein series
Selberg trace formula
Accès en ligne:Texto completo
Table des matières:
  • ""TABLE OF CONTENTS""; ""INTRODUCTION""; ""CHAPTER I: THE COMPACT CONTRIBUTION TO THE TRACE""; ""1. Discrete subgroups acting on H[sup(n)]""; ""2. A preâ€?trace formula""; ""3. Contribution of the identity""; ""4. Contribution of the elliptic elements""; ""5. Centralizers of mixed elements""; ""6. Contribution of the mixed elements""; ""7. Equivalence classes of quadratic forms""; ""CHAPTER II: EISENSTEIN SERIES AND THE CONTINUOUS SPECTRUM""; ""1. The cusp and its Eisenstein series""; ""2. Fourier expansions""; ""3. Coordinates at the cusp""; ""4. The behavior of K at the cusp""
  • ""5. Meromorphic continuation and functional equations""""6. Exceptional poles, volume computation""; ""7. Maassâ€?Selberg relations""; ""8. Plancherel formula and invariant subspaces""; ""9. The kernel H""; ""CHAPTER III: THE TRACE AT THE CUSP""; ""1. The trace of H""; ""2. Contribution of the parabolic elements""; ""3. Contribution of the hyperbolicâ€?parabolic elements""; ""4. The general case of several cusps""; ""5. The final trace formula""; ""REFERENCES""

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