TY  - BOOK
AU  - Efrat,I.
TI  - Selberg Trace Formula for PSL(R)n
T2  - Memoirs of the American Mathematical Society
SN  - 9781470407759
AV  - QA3 -- .E373 1987eb 
U1  - 510 s 
PY  - 1987///
CY  - Providence
PB  - American Mathematical Society
KW  - Selberg trace formula
KW  - Spectral theory (Mathematics)
KW  - Eisenstein series
KW  - Electronic books
N1  - 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
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113841
ER  -