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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 |
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Mandouvalos Nikolaos <1949->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1989 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Selberg trace formula for PSL(R)n / / Isaac Y. Efrat
| The Selberg trace formula for PSL(R)n / / Isaac Y. Efrat |
| Autore | Efrat Isaac Y. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1987 |
| Descrizione fisica | 1 online resource (121 p.) |
| Disciplina | 510 s |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Selberg trace formula
Spectral theory (Mathematics) Eisenstein series |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0775-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""INTRODUCTION""; ""CHAPTER I: THE COMPACT CONTRIBUTION TO THE TRACE""; ""1. Discrete subgroups acting on H[sup(n)]""; ""2. A pre�trace formula""; ""3. Contribution of the identity""; ""4. Contribution of the elliptic elements""; ""5. Centralizers of mixed elements""; ""6. Contribution of the mixed elements""; ""7. Equivalence classes of quadratic forms""; ""CHAPTER II: EISENSTEIN SERIES AND THE CONTINUOUS SPECTRUM""; ""1. The cusp and its Eisenstein series""; ""2. Fourier expansions""; ""3. Coordinates at the cusp""; ""4. The behavior of K at the cusp""
""5. Meromorphic continuation and functional equations""""6. Exceptional poles, volume computation""; ""7. Maass�Selberg relations""; ""8. Plancherel formula and invariant subspaces""; ""9. The kernel H""; ""CHAPTER III: THE TRACE AT THE CUSP""; ""1. The trace of H""; ""2. Contribution of the parabolic elements""; ""3. Contribution of the hyperbolic�parabolic elements""; ""4. The general case of several cusps""; ""5. The final trace formula""; ""REFERENCES"" |
| Record Nr. | UNINA-9910480460403321 |
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Efrat Isaac Y.
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1987 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Selberg trace formula for PSL(R)n / / Isaac Y. Efrat
| The Selberg trace formula for PSL(R)n / / Isaac Y. Efrat |
| Autore | Efrat Isaac Y. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1987 |
| Descrizione fisica | 1 online resource (121 p.) |
| Disciplina | 510 s |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Selberg trace formula
Spectral theory (Mathematics) Eisenstein series |
| ISBN | 1-4704-0775-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""INTRODUCTION""; ""CHAPTER I: THE COMPACT CONTRIBUTION TO THE TRACE""; ""1. Discrete subgroups acting on H[sup(n)]""; ""2. A pre�trace formula""; ""3. Contribution of the identity""; ""4. Contribution of the elliptic elements""; ""5. Centralizers of mixed elements""; ""6. Contribution of the mixed elements""; ""7. Equivalence classes of quadratic forms""; ""CHAPTER II: EISENSTEIN SERIES AND THE CONTINUOUS SPECTRUM""; ""1. The cusp and its Eisenstein series""; ""2. Fourier expansions""; ""3. Coordinates at the cusp""; ""4. The behavior of K at the cusp""
""5. Meromorphic continuation and functional equations""""6. Exceptional poles, volume computation""; ""7. Maass�Selberg relations""; ""8. Plancherel formula and invariant subspaces""; ""9. The kernel H""; ""CHAPTER III: THE TRACE AT THE CUSP""; ""1. The trace of H""; ""2. Contribution of the parabolic elements""; ""3. Contribution of the hyperbolic�parabolic elements""; ""4. The general case of several cusps""; ""5. The final trace formula""; ""REFERENCES"" |
| Record Nr. | UNINA-9910788882903321 |
|
Efrat Isaac Y.
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1987 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Selberg trace formula for PSL(R)n / / Isaac Y. Efrat
| The Selberg trace formula for PSL(R)n / / Isaac Y. Efrat |
| Autore | Efrat Isaac Y. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1987 |
| Descrizione fisica | 1 online resource (121 p.) |
| Disciplina | 510 s |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Selberg trace formula
Spectral theory (Mathematics) Eisenstein series |
| ISBN | 1-4704-0775-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""INTRODUCTION""; ""CHAPTER I: THE COMPACT CONTRIBUTION TO THE TRACE""; ""1. Discrete subgroups acting on H[sup(n)]""; ""2. A pre�trace formula""; ""3. Contribution of the identity""; ""4. Contribution of the elliptic elements""; ""5. Centralizers of mixed elements""; ""6. Contribution of the mixed elements""; ""7. Equivalence classes of quadratic forms""; ""CHAPTER II: EISENSTEIN SERIES AND THE CONTINUOUS SPECTRUM""; ""1. The cusp and its Eisenstein series""; ""2. Fourier expansions""; ""3. Coordinates at the cusp""; ""4. The behavior of K at the cusp""
""5. Meromorphic continuation and functional equations""""6. Exceptional poles, volume computation""; ""7. Maass�Selberg relations""; ""8. Plancherel formula and invariant subspaces""; ""9. The kernel H""; ""CHAPTER III: THE TRACE AT THE CUSP""; ""1. The trace of H""; ""2. Contribution of the parabolic elements""; ""3. Contribution of the hyperbolic�parabolic elements""; ""4. The general case of several cusps""; ""5. The final trace formula""; ""REFERENCES"" |
| Record Nr. | UNINA-9910819088503321 |
|
Efrat Isaac Y.
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1987 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Selberg trace formula III : inner product formulae (initial considerations) / / M. Scott Osborne and Garth Warner
| The Selberg trace formula III : inner product formulae (initial considerations) / / M. Scott Osborne and Garth Warner |
| Autore | Osborne M. Scott |
| Pubbl/distr/stampa | Providence, R.I., U.S.A. : , : American Mathematical Society, , [1983] |
| Descrizione fisica | 1 online resource (216 p.) |
| Disciplina |
510 s
515.9 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Selberg trace formula
Eisenstein series Automorphic forms |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0693-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480466603321 |
|
Osborne M. Scott
|
||
| Providence, R.I., U.S.A. : , : American Mathematical Society, , [1983] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Selberg trace formula III : inner product formulae (initial considerations) / / M. Scott Osborne and Garth Warner
| The Selberg trace formula III : inner product formulae (initial considerations) / / M. Scott Osborne and Garth Warner |
| Autore | Osborne M. Scott |
| Pubbl/distr/stampa | Providence, R.I., U.S.A. : , : American Mathematical Society, , [1983] |
| Descrizione fisica | 1 online resource (216 p.) |
| Disciplina |
510 s
515.9 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Selberg trace formula
Eisenstein series Automorphic forms |
| ISBN | 1-4704-0693-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910788899103321 |
|
Osborne M. Scott
|
||
| Providence, R.I., U.S.A. : , : American Mathematical Society, , [1983] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Selberg trace formula III : inner product formulae (initial considerations) / / M. Scott Osborne and Garth Warner
| The Selberg trace formula III : inner product formulae (initial considerations) / / M. Scott Osborne and Garth Warner |
| Autore | Osborne M. Scott |
| Pubbl/distr/stampa | Providence, R.I., U.S.A. : , : American Mathematical Society, , [1983] |
| Descrizione fisica | 1 online resource (216 p.) |
| Disciplina |
510 s
515.9 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Selberg trace formula
Eisenstein series Automorphic forms |
| ISBN | 1-4704-0693-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910827402803321 |
|
Osborne M. Scott
|
||
| Providence, R.I., U.S.A. : , : American Mathematical Society, , [1983] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Selberg trace formulae and equidistribution theorems for closed geodesics and Laplace eigenfunctions : finite area surfaces / / Steven Zelditch
| Selberg trace formulae and equidistribution theorems for closed geodesics and Laplace eigenfunctions : finite area surfaces / / Steven Zelditch |
| Autore | Zelditch Steven <1953-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1992 |
| Descrizione fisica | 1 online resource (113 p.) |
| Disciplina | 516.3/6 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Curves on surfaces
Geodesics (Mathematics) Cusp forms (Mathematics) Eisenstein series |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0891-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; "" 0. Introduction""; "" 1. Review of [Z .2] on the compact case""; "" 2. Trace formula for Tr Ï?R[sup(âŒ?)][sub(Ï?)] (Ï?cuspidal)""; "" 3. Trace formula for Tr Ï?R[sup(âŒ?)][sub(Ï?)] (Ï? Eisenstein)""; "" 4. Spectral estimates (Weyl laws)""; "" 5. Asymptotic expansions (Prime geodesic theorems)""; "" 6. Equidistribution of closed geodesics""; ""Appendix: Notations, Definitions and Background""; ""References"" |
| Record Nr. | UNINA-9910480539203321 |
|
Zelditch Steven <1953->
|
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| Providence, Rhode Island : , : American Mathematical Society, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Selberg trace formulae and equidistribution theorems for closed geodesics and Laplace eigenfunctions : finite area surfaces / / Steven Zelditch
| Selberg trace formulae and equidistribution theorems for closed geodesics and Laplace eigenfunctions : finite area surfaces / / Steven Zelditch |
| Autore | Zelditch Steven <1953-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1992 |
| Descrizione fisica | 1 online resource (113 p.) |
| Disciplina | 516.3/6 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Curves on surfaces
Geodesics (Mathematics) Cusp forms (Mathematics) Eisenstein series |
| ISBN | 1-4704-0891-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; "" 0. Introduction""; "" 1. Review of [Z .2] on the compact case""; "" 2. Trace formula for Tr Ï?R[sup(âŒ?)][sub(Ï?)] (Ï?cuspidal)""; "" 3. Trace formula for Tr Ï?R[sup(âŒ?)][sub(Ï?)] (Ï? Eisenstein)""; "" 4. Spectral estimates (Weyl laws)""; "" 5. Asymptotic expansions (Prime geodesic theorems)""; "" 6. Equidistribution of closed geodesics""; ""Appendix: Notations, Definitions and Background""; ""References"" |
| Record Nr. | UNINA-9910788877703321 |
|
Zelditch Steven <1953->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
