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The spectral theory of geometrically periodic hyperbolic 3-manifolds / / Charles L. Epstein
| The spectral theory of geometrically periodic hyperbolic 3-manifolds / / Charles L. Epstein |
| Autore | Epstein Charles L. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1985 |
| Descrizione fisica | 1 online resource (174 p.) |
| Disciplina | 514/.7 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Three-manifolds (Topology)
Spectral theory (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0748-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910480693403321 |
Epstein Charles L.
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1985 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The spectral theory of geometrically periodic hyperbolic 3-manifolds / / Charles L. Epstein
| The spectral theory of geometrically periodic hyperbolic 3-manifolds / / Charles L. Epstein |
| Autore | Epstein Charles L. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1985 |
| Descrizione fisica | 1 online resource (174 p.) |
| Disciplina | 514/.7 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Three-manifolds (Topology)
Spectral theory (Mathematics) |
| ISBN | 1-4704-0748-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910788880403321 |
|
Epstein Charles L.
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1985 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The spectral theory of geometrically periodic hyperbolic 3-manifolds / / Charles L. Epstein
| The spectral theory of geometrically periodic hyperbolic 3-manifolds / / Charles L. Epstein |
| Autore | Epstein Charles L. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1985 |
| Descrizione fisica | 1 online resource (174 p.) |
| Disciplina | 514/.7 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Three-manifolds (Topology)
Spectral theory (Mathematics) |
| ISBN | 1-4704-0748-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910827433903321 |
|
Epstein Charles L.
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1985 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||