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The Heat Kernel and Theta Inversion on SL 2 (C)

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Cover of 'The Heat Kernel and Theta Inversion on SL 2 (C)'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Spherical Inversion on SL 2 (C)
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    Chapter 3 The Heat Gaussian and Heat Kernel
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    Chapter 4 QED, LEG, Transpose, and Casimir
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    Chapter 5 Convergence and Divergence of the Selberg Trace
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    Chapter 6 The Cuspidal and Noncuspidal Traces
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    Chapter 7 The Fundamental Domain
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    Chapter 8 Γ-Periodization of the Heat Kernel
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    Chapter 9 Heat Kernel Convolution on $$L_{{\rm{cusp}}}^2 $$ (Γ\G/K)
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    Chapter 10 The Tube Domain for Γ∞
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    Chapter 11 The Γ/ U -Fourier Expansion of Eisenstein Series
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    Chapter 12 Adjointness Formula and the Γ\ G -Eigenfunction Expansion
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    Chapter 13 The Eisenstein Y -Asymptotics
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    Chapter 14 The Cuspidal Trace Y -Asymptotics
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    Chapter 15 Analytic Evaluations
Attention for Chapter 5: Convergence and Divergence of the Selberg Trace
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