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The ubiquitous heat kernel : AMS Special Session, The Ubiquitous Heat Kernel, October 2-4, 2003, Boulder, Colorado / / Jay Jorgenson, Lynne Walling, editors



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Titolo: The ubiquitous heat kernel : AMS Special Session, The Ubiquitous Heat Kernel, October 2-4, 2003, Boulder, Colorado / / Jay Jorgenson, Lynne Walling, editors Visualizza cluster
Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2006]
©2006
Descrizione fisica: 1 online resource (410 p.)
Disciplina: 515/.353
Soggetto topico: Heat equation
Lie groups
Jacobi forms
Geometry, Algebraic
Operator theory
Global differential geometry
Spectral theory (Mathematics)
Persona (resp. second.): JorgensonJay
WallingLynne <1958->
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references.
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)""
Titolo autorizzato: The ubiquitous heat kernel  Visualizza cluster
ISBN: 0-8218-7988-X
0-8218-5730-4
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910821754303321
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Serie: Contemporary mathematics (American Mathematical Society) ; ; v. 398.