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Local Analysis of Selberg's Trace Formula

Local Analysis of Selberg's Trace Formula more books like this

by Anton Good

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Groups Acting on Hyperbolic Space

Groups Acting on Hyperbolic Space more books like this

by 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)

The Selberg Trace Formula for Psl (2, R) more books like this

by Dennis A Hejhal

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An Approach to the Selberg Trace Formula Via the Selberg Zeta-Function

An Approach to the Selberg Trace Formula Via the Selberg Zeta-Function more books like this

by 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

The Selberg-Arthur Trace Formula more books like this

by 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 more books like this

by 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

Lectures on the Arthur-Selberg Trace Formula more books like this

by 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 more books like this

by Nikolaos Mandouvalos

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Regular B-Groups, Degenerating Riemann Surfaces, and Spectral Theory more books like this

by Dennis A. Hejhal

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Eigenvalues of the Laplacian for Hecke Triangle Groups more books like this

by Dennis A. Hejhal

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Lectures on the Spectrum of L (Gamma) more books like this

by Floyd L Williams

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Dimensions of Spaces of Siegel Cusp Forms of Degree Two and Three more books like this

by Minking Eie

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The Selberg Trace Formula for Psl (2, R): Volume 2 more books like this

by Dennis A Hejhal

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The Selberg Trace Formula III: Inner Product Formulae (Initial Considerations) more books like this

by Garth Warner, M. Scott Osborne

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Dimension Formulae for the Vector Spaces of Siegel Cusp Forms of Degree Three (II) more books like this

by Minking Eie

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The Selberg Trace Formula for Psl2 (IR)N more books like this

by Isaac Y. Efrat

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