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Selberg Trace Formula for PSL(R)n.

By: Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1987Copyright date: ©1987Edition: 1st edDescription: 1 online resource (121 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470407759
Subject(s): Genre/Form: Additional physical formats: Print version:: Selberg Trace Formula for PSL(R)nDDC classification:
  • 510 s
LOC classification:
  • QA3 -- .E373 1987eb
Online resources:
Contents:
Intro -- TABLE OF CONTENTS -- INTRODUCTION -- CHAPTER I: THE COMPACT CONTRIBUTION TO THE TRACE -- 1. Discrete subgroups acting on H[sup(n)] -- 2. A pre-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. Maass-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 hyperbolic-parabolic elements -- 4. The general case of several cusps -- 5. The final trace formula -- REFERENCES.
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Intro -- TABLE OF CONTENTS -- INTRODUCTION -- CHAPTER I: THE COMPACT CONTRIBUTION TO THE TRACE -- 1. Discrete subgroups acting on H[sup(n)] -- 2. A pre-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. Maass-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 hyperbolic-parabolic elements -- 4. The general case of several cusps -- 5. The final trace formula -- REFERENCES.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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