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Spectral asymptotics on degenerating hyperbolic 3-manifolds / / Józef Dodziuk, Jay Jorgenson
| Spectral asymptotics on degenerating hyperbolic 3-manifolds / / Józef Dodziuk, Jay Jorgenson |
| Autore | Dodziuk Józef <1947-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1998] |
| Descrizione fisica | 1 online resource (90 p.) |
| Disciplina |
510 s
516.9 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometry, Hyperbolic
Hyperbolic spaces Spectral theory (Mathematics) Asymptotic expansions |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0232-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Â1- Review of hyperbolic geometry""; ""Â2. Convergence of heat kernels""; ""Â3. Infinite cylinder estimates""; ""Â4. Heat kernels and regularized heat traces""; ""Â5. Degenerating heat traces""; ""Â6. Poisson kernel estimates""; ""Â7. Analysis of trace integrals""; ""Â8. Convergence of regularized heat traces""; ""Â9. Long time asymptotics""; ""Â10. Spectral zeta functions""; ""Â11- Selberg zeta functions""; ""Â12. Hurwitz- type zeta functions""; ""Â13. Asymptotics of spectral measures""; ""Â14. Eigenvalue counting problems""
""Â15. Convergence of spectral projections""""Bibliography"" |
| Record Nr. | UNINA-9910480979703321 |
Dodziuk Józef <1947->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1998] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spectral asymptotics on degenerating hyperbolic 3-manifolds / / Józef Dodziuk, Jay Jorgenson
| Spectral asymptotics on degenerating hyperbolic 3-manifolds / / Józef Dodziuk, Jay Jorgenson |
| Autore | Dodziuk Józef <1947-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1998] |
| Descrizione fisica | 1 online resource (90 p.) |
| Disciplina |
510 s
516.9 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometry, Hyperbolic
Hyperbolic spaces Spectral theory (Mathematics) Asymptotic expansions |
| ISBN | 1-4704-0232-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Â1- Review of hyperbolic geometry""; ""Â2. Convergence of heat kernels""; ""Â3. Infinite cylinder estimates""; ""Â4. Heat kernels and regularized heat traces""; ""Â5. Degenerating heat traces""; ""Â6. Poisson kernel estimates""; ""Â7. Analysis of trace integrals""; ""Â8. Convergence of regularized heat traces""; ""Â9. Long time asymptotics""; ""Â10. Spectral zeta functions""; ""Â11- Selberg zeta functions""; ""Â12. Hurwitz- type zeta functions""; ""Â13. Asymptotics of spectral measures""; ""Â14. Eigenvalue counting problems""
""Â15. Convergence of spectral projections""""Bibliography"" |
| Record Nr. | UNINA-9910788735603321 |
|
Dodziuk Józef <1947->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1998] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spectral asymptotics on degenerating hyperbolic 3-manifolds / / Józef Dodziuk, Jay Jorgenson
| Spectral asymptotics on degenerating hyperbolic 3-manifolds / / Józef Dodziuk, Jay Jorgenson |
| Autore | Dodziuk Józef <1947-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1998] |
| Descrizione fisica | 1 online resource (90 p.) |
| Disciplina |
510 s
516.9 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometry, Hyperbolic
Hyperbolic spaces Spectral theory (Mathematics) Asymptotic expansions |
| ISBN | 1-4704-0232-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Â1- Review of hyperbolic geometry""; ""Â2. Convergence of heat kernels""; ""Â3. Infinite cylinder estimates""; ""Â4. Heat kernels and regularized heat traces""; ""Â5. Degenerating heat traces""; ""Â6. Poisson kernel estimates""; ""Â7. Analysis of trace integrals""; ""Â8. Convergence of regularized heat traces""; ""Â9. Long time asymptotics""; ""Â10. Spectral zeta functions""; ""Â11- Selberg zeta functions""; ""Â12. Hurwitz- type zeta functions""; ""Â13. Asymptotics of spectral measures""; ""Â14. Eigenvalue counting problems""
""Â15. Convergence of spectral projections""""Bibliography"" |
| Record Nr. | UNINA-9910818127503321 |
|
Dodziuk Józef <1947->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1998] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The ubiquitous heat kernel : AMS Special Session, The Ubiquitous Heat Kernel, October 2-4, 2003, Boulder, Colorado / / Jay Jorgenson, Lynne Walling, editors
| The ubiquitous heat kernel : AMS Special Session, The Ubiquitous Heat Kernel, October 2-4, 2003, Boulder, Colorado / / Jay Jorgenson, Lynne Walling, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (410 p.) |
| Disciplina | 515/.353 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Heat equation
Lie groups Jacobi forms Geometry, Algebraic Operator theory Global differential geometry Spectral theory (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7988-X
0-8218-5730-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Positivity of zeta distributions and small unitary representations""; ""The heat equation and representations of the Jacobi group""; ""Kato's inequality and asymptotic spectral properties for discrete magnetic Laplacians""; ""The heat kernel in low-dimensional quantum theories""; ""Heat kernels on weighted manifolds and applications""; ""1. Introduction""; ""2. The Laplace operator""; ""2.1 Differential operators on manifolds""; ""2.2 Laplacian as an operator in L2""; ""2.3 Some examples""; ""2.4 Laplacian on model manifolds""; ""3. The heat kernel""
""3.1 Heat semigroup""""3.2 Heat kernel and fundamental solutions""; ""3.3 Stochastic completeness""; ""4. Relations between different heat kernels""; ""4.1 Direct products""; ""4.2 Isometries""; ""4.3 Comparison of heat kernels""; ""4.4 Change of measure""; ""4.5 Some examples of heat kernels in R""; ""4.6 Hyperbolic spaces""; ""5. Heat kernel estimates""; ""5.1 Uniform Faber-Krahn inequality""; ""5.2 Gaussian upper bounds""; ""5.3 On-diagonal lower bounds""; ""5.4 Relative Faber-Krahn inequality""; ""5.5 On-diagonal estimates on model manifolds"" ""The heat kernel on the symmetric space SL(n, F)/SU(n, F)"" |
| Record Nr. | UNINA-9910480856803321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The ubiquitous heat kernel : AMS Special Session, The Ubiquitous Heat Kernel, October 2-4, 2003, Boulder, Colorado / / Jay Jorgenson, Lynne Walling, editors
| The ubiquitous heat kernel : AMS Special Session, The Ubiquitous Heat Kernel, October 2-4, 2003, Boulder, Colorado / / Jay Jorgenson, Lynne Walling, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (410 p.) |
| Disciplina | 515/.353 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Heat equation
Lie groups Jacobi forms Geometry, Algebraic Operator theory Global differential geometry Spectral theory (Mathematics) |
| ISBN |
0-8218-7988-X
0-8218-5730-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Positivity of zeta distributions and small unitary representations""; ""The heat equation and representations of the Jacobi group""; ""Kato's inequality and asymptotic spectral properties for discrete magnetic Laplacians""; ""The heat kernel in low-dimensional quantum theories""; ""Heat kernels on weighted manifolds and applications""; ""1. Introduction""; ""2. The Laplace operator""; ""2.1 Differential operators on manifolds""; ""2.2 Laplacian as an operator in L2""; ""2.3 Some examples""; ""2.4 Laplacian on model manifolds""; ""3. The heat kernel""
""3.1 Heat semigroup""""3.2 Heat kernel and fundamental solutions""; ""3.3 Stochastic completeness""; ""4. Relations between different heat kernels""; ""4.1 Direct products""; ""4.2 Isometries""; ""4.3 Comparison of heat kernels""; ""4.4 Change of measure""; ""4.5 Some examples of heat kernels in R""; ""4.6 Hyperbolic spaces""; ""5. Heat kernel estimates""; ""5.1 Uniform Faber-Krahn inequality""; ""5.2 Gaussian upper bounds""; ""5.3 On-diagonal lower bounds""; ""5.4 Relative Faber-Krahn inequality""; ""5.5 On-diagonal estimates on model manifolds"" ""The heat kernel on the symmetric space SL(n, F)/SU(n, F)"" |
| Record Nr. | UNINA-9910788661503321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The ubiquitous heat kernel : AMS Special Session, The Ubiquitous Heat Kernel, October 2-4, 2003, Boulder, Colorado / / Jay Jorgenson, Lynne Walling, editors
| The ubiquitous heat kernel : AMS Special Session, The Ubiquitous Heat Kernel, October 2-4, 2003, Boulder, Colorado / / Jay Jorgenson, Lynne Walling, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (410 p.) |
| Disciplina | 515/.353 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Heat equation
Lie groups Jacobi forms Geometry, Algebraic Operator theory Global differential geometry Spectral theory (Mathematics) |
| ISBN |
0-8218-7988-X
0-8218-5730-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Positivity of zeta distributions and small unitary representations""; ""The heat equation and representations of the Jacobi group""; ""Kato's inequality and asymptotic spectral properties for discrete magnetic Laplacians""; ""The heat kernel in low-dimensional quantum theories""; ""Heat kernels on weighted manifolds and applications""; ""1. Introduction""; ""2. The Laplace operator""; ""2.1 Differential operators on manifolds""; ""2.2 Laplacian as an operator in L2""; ""2.3 Some examples""; ""2.4 Laplacian on model manifolds""; ""3. The heat kernel""
""3.1 Heat semigroup""""3.2 Heat kernel and fundamental solutions""; ""3.3 Stochastic completeness""; ""4. Relations between different heat kernels""; ""4.1 Direct products""; ""4.2 Isometries""; ""4.3 Comparison of heat kernels""; ""4.4 Change of measure""; ""4.5 Some examples of heat kernels in R""; ""4.6 Hyperbolic spaces""; ""5. Heat kernel estimates""; ""5.1 Uniform Faber-Krahn inequality""; ""5.2 Gaussian upper bounds""; ""5.3 On-diagonal lower bounds""; ""5.4 Relative Faber-Krahn inequality""; ""5.5 On-diagonal estimates on model manifolds"" ""The heat kernel on the symmetric space SL(n, F)/SU(n, F)"" |
| Record Nr. | UNINA-9910821754303321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||