03564nam 2200733 450 991082175430332120180613001239.00-8218-7988-X0-8218-5730-4(CKB)3240000000069924(EBL)3113189(SSID)ssj0000850404(PQKBManifestationID)11447945(PQKBTitleCode)TC0000850404(PQKBWorkID)10833019(PQKB)10051374(MiAaPQ)EBC3113189(WaSeSS)Ind00039617(RPAM)14191678(PPN)197107257(EXLCZ)99324000000006992420051207h20062006 uy| 0engur|n|---|||||txtccrThe ubiquitous heat kernel AMS Special Session, The Ubiquitous Heat Kernel, October 2-4, 2003, Boulder, Colorado /Jay Jorgenson, Lynne Walling, editorsProvidence, Rhode Island :American Mathematical Society,[2006]©20061 online resource (410 p.)Contemporary mathematics,0271-4132 ;398Description based upon print version of record.0-8218-3698-6 Includes bibliographical references.""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)""Contemporary mathematics (American Mathematical Society) ;v. 398.Heat equationCongressesLie groupsCongressesJacobi formsCongressesGeometry, AlgebraicCongressesOperator theoryCongressesGlobal differential geometryCongressesSpectral theory (Mathematics)CongressesHeat equationLie groupsJacobi formsGeometry, AlgebraicOperator theoryGlobal differential geometrySpectral theory (Mathematics)515/.353Jorgenson JayWalling Lynne1958-AMS Special Session : The Ubiquitous Heat Kernel(2003 :Boulder, Colorado),MiAaPQMiAaPQMiAaPQBOOK9910821754303321The ubiquitous heat kernel4062188UNINA