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Record Nr. |
UNINA9910480693403321 |
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Autore |
Epstein Charles L. |
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Titolo |
The spectral theory of geometrically periodic hyperbolic 3-manifolds / / Charles L. Epstein |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 1985 |
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©1985 |
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ISBN |
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Descrizione fisica |
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1 online resource (174 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 58, Numbr 335 |
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Disciplina |
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Soggetti |
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Three-manifolds (Topology) |
Spectral theory (Mathematics) |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"November 1985, volume 58 number 335 (first of four numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""Table of Contents""; ""Notation""; ""1. Preliminaries""; ""1.1 Introduction""; ""1.2 Holomorphic Families of Operators""; ""2. Floquet Theory""; ""2.1 An Equivalent Family of Operators""; ""2.2 A Second Equivalent Family of Operators""; ""3. The Elliptic Case""; ""3.1 The Analyticity of the Operators""; ""3.2 An Estimate on the Derivatives of the Eigenvalues""; ""3.3 A Lower Bound on the Density of the Absolutely Continuous Spectrum""; ""3.4 The Structure of the Spectrum Near Zero""; ""4. The Parabolic Case""; ""4.1 Introduction""; ""4.2 The Analyticity of L[sub(Î?)]"" |
""4.3 Boundary Behavior of L[sub(Î?)]""""4.4 The Absolutely Continuous Spectrum of -Î? on H[sup(3)]/Î?""; ""4.5 The Asymptotic Behavior of λ[sub(1)](Î?) Near Zero""; ""5. Applications of the Spectral Theory""; ""5.1 Introduction""; ""5.2 The L[sup(2)] Theory of the Wave Equation in H[sup(3)]/Î?""; ""5.3 Lattice Point Asymptotics: The Exact Leading Order Term""; ""5.4 The Explicit Leading Term for â??(R)""; ""5.5 Asymptotics of the Lengths of Closed Geodesies""; ""Appendices""; ""1. Hyperbolic Manifolds and Hyperbolic Isometries""; ""2. A Uniform Estimate for K[sub(Ï?)](z)"" |
""3. Derivation of a Selberg Trace Formula""""References"" |
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