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Local Analysis of Selberg's Trace Formula
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Anton Good
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Groups Acting on Hyperbolic Space
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Jurgen Elstrodt, Fritz Grunewald, Juergen Elstrodt
This book deals with a broad range of topics from the theory of automorphic functions on three-dimensional hyperbolic space and its arithmetic group theoretic and geometric ramifications. Starting off with several models of hyperbolic space and its group of motions the authors discuss the spectral theory of the Laplacian and Selberg's theory for ...
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The Selberg Trace Formula for Psl (2, R)
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Dennis A Hejhal
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An Approach to the Selberg Trace Formula Via the Selberg Zeta-Function
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Fischer
The Notes give a direct approach to the Selberg zeta-function for cofinite discrete subgroups of SL (2, number 3) acting on the upper half-plane. The basic idea is to compute the trace of the iterated resolvent kernel of the hyperbolic Laplacian in order to arrive at the logarithmic derivative of the Selberg zeta-function. Previous knowledge of ...
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The Selberg-Arthur Trace Formula
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Salahoddin Shokranian
Based on lectures given by James Arthur, this text discusses the trace formula of Selberg and Arthur, focusing on Arthur's trace formula for GL(r). Several examples are used in order to illustrate the basic concepts.
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A Proof of the Q-MacDonald-Morris Conjecture for Bcn
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Kevin W. Kadell
Macdonald and Morris gave a series of constant term $q$-conjectures associated with root systems. Selberg evaluated a multivariable beta type integral which plays an important role in the theory of constant term identities associated with root systems. Aomoto recently gave a simple and elegant proof of a generalization of Selberg's integral. ...
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Lectures on the Arthur-Selberg Trace Formula
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Stephen S Gelbart
The Arthur-Selberg trace formula is an equality between two kinds of traces: the geometric terms given by the conjugacy classes of a group and the spectral terms given by the induced representations. In general, these terms require a truncation in order to converge, which leads to an equality of truncated kernels. The formulas are difficult in ...
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Scattering Operator, Eisenstein Series, Inner Product Formula, and "Maass-Selberg" Relations for Kle
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Nikolaos Mandouvalos
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Regular B-Groups, Degenerating Riemann Surfaces, and Spectral Theory
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Dennis A. Hejhal
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Eigenvalues of the Laplacian for Hecke Triangle Groups
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Dennis A. Hejhal
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Lectures on the Spectrum of L (Gamma)
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Floyd L Williams
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Dimensions of Spaces of Siegel Cusp Forms of Degree Two and Three
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Minking Eie
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The Selberg Trace Formula for Psl (2, R): Volume 2
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Dennis A Hejhal
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The Selberg Trace Formula III: Inner Product Formulae (Initial Considerations)
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Garth Warner, M. Scott Osborne
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Dimension Formulae for the Vector Spaces of Siegel Cusp Forms of Degree Three (II)
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Minking Eie
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The Selberg Trace Formula for Psl2 (IR)N
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Isaac Y. Efrat
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