The spectral theory of geometrically periodic hyperbolic 3-manifolds / / Charles L. Epstein
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| Autore: |
Epstein Charles L.
|
| Titolo: |
The spectral theory of geometrically periodic hyperbolic 3-manifolds / / Charles L. Epstein
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 1985 |
| ©1985 | |
| Descrizione fisica: | 1 online resource (174 p.) |
| Disciplina: | 514/.7 |
| Soggetto topico: | Three-manifolds (Topology) |
| Spectral theory (Mathematics) | |
| Soggetto genere / forma: | Electronic books. |
| Note generali: | "November 1985, volume 58 number 335 (first of four numbers)." |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | ""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"" | |
| Titolo autorizzato: | The spectral theory of geometrically periodic hyperbolic 3-manifolds |
| ISBN: | 1-4704-0748-5 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910480693403321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 58, Numbr 335.