The Selberg trace formula for PSL(R)n / Isaac Y. Efrat.

Format:

Book

Author/Creator:

Efrat, Isaac Y., author.

Series:

Memoirs of the American Mathematical Society ; Volume 65, Number 359.

Memoirs of the American Mathematical Society, 0065-9266 ; Volume 65, Number 359

Language:

English

Subjects (All):

Selberg trace formula.

Spectral theory (Mathematics).

Eisenstein series.

Physical Description:

1 online resource (121 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 1987.

Language Note:

English

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""

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on print version record.

ISBN:

1-4704-0775-2