Selberg Trace Formula for PSL(R)n.
- 1st ed.
- 1 online resource (121 pages)
- Memoirs of the American Mathematical Society ; v.65 .
- Memoirs of the American Mathematical Society .
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.
9781470407759
Selberg trace formula. Spectral theory (Mathematics). Eisenstein series.