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Spectral Theory of Infinite-Area Hyperbolic Surfaces

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Cover of 'Spectral Theory of Infinite-Area Hyperbolic Surfaces'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Hyperbolic Surfaces
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    Chapter 3 Selberg Theory for Finite-Area Hyperbolic Surfaces
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    Chapter 4 Spectral Theory for the Hyperbolic Plane
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    Chapter 5 Model Resolvents for Cylinders
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    Chapter 6 The Resolvent
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    Chapter 7 Spectral and Scattering Theory
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    Chapter 8 Resonances and Scattering Poles
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    Chapter 9 Growth Estimates and Resonance Bounds
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    Chapter 10 Selberg Zeta Function
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    Chapter 11 Wave Trace and Poisson Formula
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    Chapter 12 Resonance Asymptotics
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    Chapter 13 Inverse Spectral Geometry
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    Chapter 14 Patterson-Sullivan Theory
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    Chapter 15 Dynamical Approach to the Zeta Function
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    Chapter 16 Numerical Computations
Attention for Chapter 6: The Resolvent
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