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Record Nr. |
UNINA9910788661503321 |
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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 |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2006] |
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©2006 |
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ISBN |
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0-8218-7988-X |
0-8218-5730-4 |
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Descrizione fisica |
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1 online resource (410 p.) |
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Collana |
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Contemporary mathematics, , 0271-4132 ; ; 398 |
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Disciplina |
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Soggetti |
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Heat equation |
Lie groups |
Jacobi forms |
Geometry, Algebraic |
Operator theory |
Global differential geometry |
Spectral theory (Mathematics) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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 |
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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)"" |
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