Ebook: Groups Acting on Hyperbolic Space: Harmonic Analysis and Number Theory

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Content:
Front Matter....Pages I-XV
Three-Dimensional Hyperbolic Space....Pages 1-32
Groups Acting Discontinuously on Three-Dimensional Hyperbolic Space....Pages 33-81
Automorphic Functions....Pages 83-129
Spectral Theory of the Laplace Operator....Pages 131-183
Spectral Theory of the Laplace Operator for Cocompact Groups....Pages 185-229
Spectral Theory of the Laplace Operator for Cofinite Groups....Pages 231-310
PSL(2) over Rings of Imaginary Quadratic Integers....Pages 311-357
Eisenstein Series for PSL(2) over Imaginary Quadratic Integers....Pages 359-405
Integral Binary Hermitian Forms....Pages 407-441
Examples of Discontinuous Groups....Pages 443-495
Back Matter....Pages 497-524

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see information text
Content:
Front Matter....Pages I-XV
Three-Dimensional Hyperbolic Space....Pages 1-32
Groups Acting Discontinuously on Three-Dimensional Hyperbolic Space....Pages 33-81
Automorphic Functions....Pages 83-129
Spectral Theory of the Laplace Operator....Pages 131-183
Spectral Theory of the Laplace Operator for Cocompact Groups....Pages 185-229
Spectral Theory of the Laplace Operator for Cofinite Groups....Pages 231-310
PSL(2) over Rings of Imaginary Quadratic Integers....Pages 311-357
Eisenstein Series for PSL(2) over Imaginary Quadratic Integers....Pages 359-405
Integral Binary Hermitian Forms....Pages 407-441
Examples of Discontinuous Groups....Pages 443-495
Back Matter....Pages 497-524
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