Title Statements
- Full title :The Selberg trace formula for PSL(R)n / Isaac Y. Efrat.
Edition Statements
- Publication Date:©1987
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, Rhode Island
- Language:eng
- Publication Date:©1987
The Physical Object
- Description:1 online resource (121 pages)
Edition Identifiers
- ISBN:9781470407759, 1470407752
- oclc:ocn891383852
- LC Classification:QA3
- Dewey Decimal:510 s
Table of Contents
""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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