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Regular b-groups, degenerating Riemann surfaces, and spectral theory / / Dennis A. Hejhal
| Regular b-groups, degenerating Riemann surfaces, and spectral theory / / Dennis A. Hejhal |
| Autore | Hejhal Dennis A. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1990 |
| Descrizione fisica | 1 online resource (146 p.) |
| Disciplina | 510 s |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Riemann surfaces
Selberg trace formula Automorphic functions Kleinian groups Spectral theory (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0860-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""0. Introduction""; ""Notation""; ""1. Riemann Surfaces with Nodes and Regular b�Groups""; ""2. The Space M[sub(g)]""; ""3. Convergence of Green's Functions (part one)""; ""4. Collars and Nodal Neighborhoods""; ""5. An Apriori Bound for Prime Geodesics""; ""6. Convergence of Green's Functions (part two)""; ""7. Continuity Properties of Small Eigenvalues""; ""8. Asymptotic Properties of the Selberg Zeta Function""; ""9. An Analog of Weyl 's Law""; ""References"" |
| Record Nr. | UNINA-9910480471003321 |
Hejhal Dennis A.
|
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| Providence, Rhode Island : , : American Mathematical Society, , 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Regular b-groups, degenerating Riemann surfaces, and spectral theory / / Dennis A. Hejhal
| Regular b-groups, degenerating Riemann surfaces, and spectral theory / / Dennis A. Hejhal |
| Autore | Hejhal Dennis A. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1990 |
| Descrizione fisica | 1 online resource (146 p.) |
| Disciplina | 510 s |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Riemann surfaces
Selberg trace formula Automorphic functions Kleinian groups Spectral theory (Mathematics) |
| ISBN | 1-4704-0860-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""0. Introduction""; ""Notation""; ""1. Riemann Surfaces with Nodes and Regular b�Groups""; ""2. The Space M[sub(g)]""; ""3. Convergence of Green's Functions (part one)""; ""4. Collars and Nodal Neighborhoods""; ""5. An Apriori Bound for Prime Geodesics""; ""6. Convergence of Green's Functions (part two)""; ""7. Continuity Properties of Small Eigenvalues""; ""8. Asymptotic Properties of the Selberg Zeta Function""; ""9. An Analog of Weyl 's Law""; ""References"" |
| Record Nr. | UNINA-9910788874903321 |
|
Hejhal Dennis A.
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Regular b-groups, degenerating Riemann surfaces, and spectral theory / / Dennis A. Hejhal
| Regular b-groups, degenerating Riemann surfaces, and spectral theory / / Dennis A. Hejhal |
| Autore | Hejhal Dennis A. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1990 |
| Descrizione fisica | 1 online resource (146 p.) |
| Disciplina | 510 s |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Riemann surfaces
Selberg trace formula Automorphic functions Kleinian groups Spectral theory (Mathematics) |
| ISBN | 1-4704-0860-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""0. Introduction""; ""Notation""; ""1. Riemann Surfaces with Nodes and Regular b�Groups""; ""2. The Space M[sub(g)]""; ""3. Convergence of Green's Functions (part one)""; ""4. Collars and Nodal Neighborhoods""; ""5. An Apriori Bound for Prime Geodesics""; ""6. Convergence of Green's Functions (part two)""; ""7. Continuity Properties of Small Eigenvalues""; ""8. Asymptotic Properties of the Selberg Zeta Function""; ""9. An Analog of Weyl 's Law""; ""References"" |
| Record Nr. | UNINA-9910827765303321 |
|
Hejhal Dennis A.
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Scattering operator, Eisenstein series, inner product formula, and "Maass-Selberg" relations for Kleinian groups / / Nikolaos Mandouvalos
| Scattering operator, Eisenstein series, inner product formula, and "Maass-Selberg" relations for Kleinian groups / / Nikolaos Mandouvalos |
| Autore | Mandouvalos Nikolaos <1949-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1989 |
| Descrizione fisica | 1 online resource (97 p.) |
| Disciplina | 510 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Eisenstein series
Scattering operator Kleinian groups Spectral theory (Mathematics) Selberg trace formula |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0820-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Introduction""; ""Part I. Scattering Operator and Eisenstein Series""; ""Â1. Analytical and Geometrical considerations""; ""Â2. The scattering operator and Eisenstein integral""; ""Â3. ""Desingularizations"" of the scattering operator and construction of a smooth parametrix""; ""Part II. The Inner Product Formula""; ""Â4. Integration over a horosphere""; ""Â5. The constant term theorem""; ""Â6. Formulation and proof of the inner product formula""; ""Part III. ""Maass-Selberg"" Relations and Functional Equation""
""Â7. Two modified L[sup(2)]-versions of the Eisenstein integral""""Â8. The first ""Maass-Selbert"" relation""; ""Â9. The second ""Maass-Selberg"" relation and the functional equation""; ""Epilogue""; ""Â 10. Extension to discrete groups on H[sup(n+1)]""; ""Bibliography"" |
| Record Nr. | UNINA-9910480686603321 |
|
Mandouvalos Nikolaos <1949->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1989 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Scattering operator, Eisenstein series, inner product formula, and "Maass-Selberg" relations for Kleinian groups / / Nikolaos Mandouvalos
| Scattering operator, Eisenstein series, inner product formula, and "Maass-Selberg" relations for Kleinian groups / / Nikolaos Mandouvalos |
| Autore | Mandouvalos Nikolaos <1949-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1989 |
| Descrizione fisica | 1 online resource (97 p.) |
| Disciplina | 510 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Eisenstein series
Scattering operator Kleinian groups Spectral theory (Mathematics) Selberg trace formula |
| ISBN | 1-4704-0820-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Introduction""; ""Part I. Scattering Operator and Eisenstein Series""; ""Â1. Analytical and Geometrical considerations""; ""Â2. The scattering operator and Eisenstein integral""; ""Â3. ""Desingularizations"" of the scattering operator and construction of a smooth parametrix""; ""Part II. The Inner Product Formula""; ""Â4. Integration over a horosphere""; ""Â5. The constant term theorem""; ""Â6. Formulation and proof of the inner product formula""; ""Part III. ""Maass-Selberg"" Relations and Functional Equation""
""Â7. Two modified L[sup(2)]-versions of the Eisenstein integral""""Â8. The first ""Maass-Selbert"" relation""; ""Â9. The second ""Maass-Selberg"" relation and the functional equation""; ""Epilogue""; ""Â 10. Extension to discrete groups on H[sup(n+1)]""; ""Bibliography"" |
| Record Nr. | UNINA-9910788871203321 |
|
Mandouvalos Nikolaos <1949->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1989 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Scattering operator, Eisenstein series, inner product formula, and "Maass-Selberg" relations for Kleinian groups / / Nikolaos Mandouvalos
| Scattering operator, Eisenstein series, inner product formula, and "Maass-Selberg" relations for Kleinian groups / / Nikolaos Mandouvalos |
| Autore | Mandouvalos Nikolaos <1949-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1989 |
| Descrizione fisica | 1 online resource (97 p.) |
| Disciplina | 510 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Eisenstein series
Scattering operator Kleinian groups Spectral theory (Mathematics) Selberg trace formula |
| ISBN | 1-4704-0820-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Introduction""; ""Part I. Scattering Operator and Eisenstein Series""; ""Â1. Analytical and Geometrical considerations""; ""Â2. The scattering operator and Eisenstein integral""; ""Â3. ""Desingularizations"" of the scattering operator and construction of a smooth parametrix""; ""Part II. The Inner Product Formula""; ""Â4. Integration over a horosphere""; ""Â5. The constant term theorem""; ""Â6. Formulation and proof of the inner product formula""; ""Part III. ""Maass-Selberg"" Relations and Functional Equation""
""Â7. Two modified L[sup(2)]-versions of the Eisenstein integral""""Â8. The first ""Maass-Selbert"" relation""; ""Â9. The second ""Maass-Selberg"" relation and the functional equation""; ""Epilogue""; ""Â 10. Extension to discrete groups on H[sup(n+1)]""; ""Bibliography"" |
| Record Nr. | UNINA-9910817122603321 |
|
Mandouvalos Nikolaos <1949->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1989 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spaces of Kleinian groups / edited by Yair N. Minsky, Makoto Sakuma, Caroline Series
| Spaces of Kleinian groups / edited by Yair N. Minsky, Makoto Sakuma, Caroline Series |
| Pubbl/distr/stampa | Cambridge : Cambridge university press, 2006 |
| Descrizione fisica | vii, 390 p. : ill. ; 23 cm |
| Disciplina | 516.3 |
| Altri autori (Persone) |
Minsky, Yair Nathan
Makoto, Sakuma Series, Caroline |
| Collana | London mathematical society lecture note series, 0076-0552 ; 329 |
| Soggetto topico | Kleinian groups |
| ISBN | 0521617979 |
| Classificazione |
AMS 30-06
AMS 30F40 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001760469707536 |
| Cambridge : Cambridge university press, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Two-generator discrete subgroups of PSL (2, R) / / Jane Gilman
| Two-generator discrete subgroups of PSL (2, R) / / Jane Gilman |
| Autore | Gilman Jane <1945-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1995 |
| Descrizione fisica | 1 online resource (221 p.) |
| Disciplina | 515/.223 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Fuchsian groups
Kleinian groups Teichmüller spaces |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0140-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""I: Introduction""; ""1 Introduction""; ""1.1 Overview Intersecting Axes""; ""1.2 Overview of the intertwining cases""; ""1.3 Why an algorithm is needed""; ""2 The Acute Triangle Theorem""; ""2.1 Nielsen equivalence""; ""2.2 Idea of proof: Acute triangle theorem""; ""2.3 Labeling Conventions""; ""2.4 Ascending order conventions""; ""2.5 The Triangle Algorithm""; ""2.6 Q and the last triangle along A""; ""2.7 Combining triangle algorithm steps""; ""2.8 The sides and heights converge to 0""; ""2.9 Acute triangle theorem: proof""; ""3 Discreteness Theorem Proof Outline""
""3.1 The Discreteness Theorem""""3.2 Discreteness theorem""; ""3.3 Geometric equivalence theorems""; ""II: Preliminaries""; ""4 Triangle Groups and their Tilings""; ""4.1 Basic facts about triangle groups""; ""4.2 Minimal tiling distances""; ""4.3 The wedge at a vertex""; ""4.4 Proofs of lemmas and theorems""; ""4.5 Additional Notation""; ""4.6 Distances in the extended wedge""; ""5 Pentagons""; ""5.1 Constructing the pentagon, P[sub(A,B)]""; ""5.2 Notation""; ""5.3 Applying the Poincare Polygon Theorem""; ""5.4 Pentagon Tilings""; ""5.5 Distances in the shingling"" ""8.4 Pentagon distances (2,3, n) t = 3 k = 3""; ""9 Nielsen Eq: (2,3, n) t = 3; k = 3""; ""9.1 Introduction""; ""9.2 Types of triples: distances""; ""9.3 Locating t[sub(2)] and t[sub(3)]""; ""10 Nielsen Eq: (2,4, n) t = 2; k = 2""; ""10.1 Introduction""; ""10.2 Types of triples""; ""10.3 Location of t[sub(1)],t[sub(2)] and t[sub(3)]""; ""11 Pentagon t = 9 & 2�2 Spectrum""; ""11.1 Step 1: Label the wedge""; ""11.2 Step 2: Double and Extend""; ""11.3 Step 3: Drop perpendiculars""; ""11.4 The two�two spectrum""; ""11.5 More distance computations""; ""11.6 Distances to q�[sub(0)]"" ""11.7 Locate three order two points""""12 The Seven & Geometric Eq t = 9""; ""12.1 Introduction""; ""12.2 The variation of h and b""; ""12.3 Rule out a seven on the β side""; ""12.4 Rule out a seven on the D side""; ""12.5 Interior sevens""; ""12.6 Notation""; ""12.7 Geometric equivalence (2,3, 7) t = 9; k = 2""; ""13 Discreteness Theorem Proof""; ""13.1 The Proof of the Discreteness Theorem""; ""13.2 The proof of sufficiency""; ""IV: The Real Number Algorithm and the Turing Machine Algorithm""; ""14 Forms of the Algorithm""; ""14.1 What is an algorithm?"" ""14.2 The Elliptic Order Algorithm"" |
| Record Nr. | UNINA-9910480467703321 |
|
Gilman Jane <1945->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Two-generator discrete subgroups of PSL (2, R) / / Jane Gilman
| Two-generator discrete subgroups of PSL (2, R) / / Jane Gilman |
| Autore | Gilman Jane <1945-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1995 |
| Descrizione fisica | 1 online resource (221 p.) |
| Disciplina | 515/.223 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Fuchsian groups
Kleinian groups Teichmüller spaces |
| ISBN | 1-4704-0140-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""I: Introduction""; ""1 Introduction""; ""1.1 Overview Intersecting Axes""; ""1.2 Overview of the intertwining cases""; ""1.3 Why an algorithm is needed""; ""2 The Acute Triangle Theorem""; ""2.1 Nielsen equivalence""; ""2.2 Idea of proof: Acute triangle theorem""; ""2.3 Labeling Conventions""; ""2.4 Ascending order conventions""; ""2.5 The Triangle Algorithm""; ""2.6 Q and the last triangle along A""; ""2.7 Combining triangle algorithm steps""; ""2.8 The sides and heights converge to 0""; ""2.9 Acute triangle theorem: proof""; ""3 Discreteness Theorem Proof Outline""
""3.1 The Discreteness Theorem""""3.2 Discreteness theorem""; ""3.3 Geometric equivalence theorems""; ""II: Preliminaries""; ""4 Triangle Groups and their Tilings""; ""4.1 Basic facts about triangle groups""; ""4.2 Minimal tiling distances""; ""4.3 The wedge at a vertex""; ""4.4 Proofs of lemmas and theorems""; ""4.5 Additional Notation""; ""4.6 Distances in the extended wedge""; ""5 Pentagons""; ""5.1 Constructing the pentagon, P[sub(A,B)]""; ""5.2 Notation""; ""5.3 Applying the Poincare Polygon Theorem""; ""5.4 Pentagon Tilings""; ""5.5 Distances in the shingling"" ""8.4 Pentagon distances (2,3, n) t = 3 k = 3""; ""9 Nielsen Eq: (2,3, n) t = 3; k = 3""; ""9.1 Introduction""; ""9.2 Types of triples: distances""; ""9.3 Locating t[sub(2)] and t[sub(3)]""; ""10 Nielsen Eq: (2,4, n) t = 2; k = 2""; ""10.1 Introduction""; ""10.2 Types of triples""; ""10.3 Location of t[sub(1)],t[sub(2)] and t[sub(3)]""; ""11 Pentagon t = 9 & 2�2 Spectrum""; ""11.1 Step 1: Label the wedge""; ""11.2 Step 2: Double and Extend""; ""11.3 Step 3: Drop perpendiculars""; ""11.4 The two�two spectrum""; ""11.5 More distance computations""; ""11.6 Distances to q�[sub(0)]"" ""11.7 Locate three order two points""""12 The Seven & Geometric Eq t = 9""; ""12.1 Introduction""; ""12.2 The variation of h and b""; ""12.3 Rule out a seven on the β side""; ""12.4 Rule out a seven on the D side""; ""12.5 Interior sevens""; ""12.6 Notation""; ""12.7 Geometric equivalence (2,3, 7) t = 9; k = 2""; ""13 Discreteness Theorem Proof""; ""13.1 The Proof of the Discreteness Theorem""; ""13.2 The proof of sufficiency""; ""IV: The Real Number Algorithm and the Turing Machine Algorithm""; ""14 Forms of the Algorithm""; ""14.1 What is an algorithm?"" ""14.2 The Elliptic Order Algorithm"" |
| Record Nr. | UNINA-9910788758403321 |
|
Gilman Jane <1945->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Two-generator discrete subgroups of PSL (2, R) / / Jane Gilman
| Two-generator discrete subgroups of PSL (2, R) / / Jane Gilman |
| Autore | Gilman Jane <1945-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1995 |
| Descrizione fisica | 1 online resource (221 p.) |
| Disciplina | 515/.223 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Fuchsian groups
Kleinian groups Teichmüller spaces |
| ISBN | 1-4704-0140-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""I: Introduction""; ""1 Introduction""; ""1.1 Overview Intersecting Axes""; ""1.2 Overview of the intertwining cases""; ""1.3 Why an algorithm is needed""; ""2 The Acute Triangle Theorem""; ""2.1 Nielsen equivalence""; ""2.2 Idea of proof: Acute triangle theorem""; ""2.3 Labeling Conventions""; ""2.4 Ascending order conventions""; ""2.5 The Triangle Algorithm""; ""2.6 Q and the last triangle along A""; ""2.7 Combining triangle algorithm steps""; ""2.8 The sides and heights converge to 0""; ""2.9 Acute triangle theorem: proof""; ""3 Discreteness Theorem Proof Outline""
""3.1 The Discreteness Theorem""""3.2 Discreteness theorem""; ""3.3 Geometric equivalence theorems""; ""II: Preliminaries""; ""4 Triangle Groups and their Tilings""; ""4.1 Basic facts about triangle groups""; ""4.2 Minimal tiling distances""; ""4.3 The wedge at a vertex""; ""4.4 Proofs of lemmas and theorems""; ""4.5 Additional Notation""; ""4.6 Distances in the extended wedge""; ""5 Pentagons""; ""5.1 Constructing the pentagon, P[sub(A,B)]""; ""5.2 Notation""; ""5.3 Applying the Poincare Polygon Theorem""; ""5.4 Pentagon Tilings""; ""5.5 Distances in the shingling"" ""8.4 Pentagon distances (2,3, n) t = 3 k = 3""; ""9 Nielsen Eq: (2,3, n) t = 3; k = 3""; ""9.1 Introduction""; ""9.2 Types of triples: distances""; ""9.3 Locating t[sub(2)] and t[sub(3)]""; ""10 Nielsen Eq: (2,4, n) t = 2; k = 2""; ""10.1 Introduction""; ""10.2 Types of triples""; ""10.3 Location of t[sub(1)],t[sub(2)] and t[sub(3)]""; ""11 Pentagon t = 9 & 2�2 Spectrum""; ""11.1 Step 1: Label the wedge""; ""11.2 Step 2: Double and Extend""; ""11.3 Step 3: Drop perpendiculars""; ""11.4 The two�two spectrum""; ""11.5 More distance computations""; ""11.6 Distances to q�[sub(0)]"" ""11.7 Locate three order two points""""12 The Seven & Geometric Eq t = 9""; ""12.1 Introduction""; ""12.2 The variation of h and b""; ""12.3 Rule out a seven on the β side""; ""12.4 Rule out a seven on the D side""; ""12.5 Interior sevens""; ""12.6 Notation""; ""12.7 Geometric equivalence (2,3, 7) t = 9; k = 2""; ""13 Discreteness Theorem Proof""; ""13.1 The Proof of the Discreteness Theorem""; ""13.2 The proof of sufficiency""; ""IV: The Real Number Algorithm and the Turing Machine Algorithm""; ""14 Forms of the Algorithm""; ""14.1 What is an algorithm?"" ""14.2 The Elliptic Order Algorithm"" |
| Record Nr. | UNINA-9910827874503321 |
|
Gilman Jane <1945->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
