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Ubiquitous Heat Kernel.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Jorgenson, Jay
Otros Autores: Walling, Lynne
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 2006.
Colección:Contemporary Mathematics.
Temas:
Acceso en línea:Texto completo

MARC

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082 0 4 |a 515/.353 
049 |a UAMI 
100 1 |a Jorgenson, Jay. 
245 1 0 |a Ubiquitous Heat Kernel. 
260 |a Providence :  |b American Mathematical Society,  |c 2006. 
300 |a 1 online resource (410 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Contemporary Mathematics ;  |v v. 398 
588 0 |a Print version record. 
505 0 |a 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 
505 8 |a 3.1 Heat semigroup3.2 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 
505 8 |a ""5.6 Estimates with the mean curvature function""""5.7 Green function and Green operator""; ""6. Harnack inequality""; ""6.1 The Li-Yau estimate""; ""6.2 Manifolds with relatively connected annuli""; ""6.3 Non-uniform change of measure""; ""6.4 Conformal change of the metric tensor""; ""6.5 Manifolds with ends""; ""7. Eigenvalues of Schrödinger operators""; ""7.1 Negative eigenvalues""; ""7.2 Stability index of minimal surfaces""; ""8. The Brownian motion""; ""8.1 Construction of the Brownian motion""; ""8.2 The first exit time""; ""8.3 The Dirichlet problem for a Schrödinger operator"" 
505 8 |a ""9. Path properties of stochastic processes""""9.1 Recurrence and transience""; ""9.2 Escape rate""; ""9.3 Recurrence and transience of Î"-process""; ""9.4 Asymptotic separation of trajectories of Î"-process""; ""10. Heat kernels of SchrÃœdinger operators""; ""10.1 Heat kernel and a ground state""; ""10.2 Green bounded potentials""; ""10.3 Potentials with a polynomial ground state""; ""10.4 Potentials of quadratic decay in Rn""; ""10.5 Spherically symmetric potentials""; ""10.6 Appendix: behavior of harmonic functions at â?ž""; ""References"" 
505 8 |a ""Heat kernels in geometric evolution equations""""The range of the heat operator""; ""Heat kernels and cycles""; ""Green currents on KÃ?hler manifolds""; ""Heat kernels and Riesz transforms""; ""The contest between the kernels in the Selberg trace formula for the (q + 1)-regular tree""; ""Expressing Arakelov invariants using hyperbolic heat kernels""; ""Grassmanians of higher local fields and multivariable tau functions""; ""Heat kernels and the range of the trace on completions of twisted group algebras""; ""Theta functions, old and new"" 
500 |a ""The heat kernel on the symmetric space SL(n, F)/SU(n, F)"" 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 4 |a Geometry, Algebraic  |v Congresses. 
650 4 |a Global differential geometry  |v Congresses. 
650 4 |a Heat equation  |v Congresses. 
650 4 |a Jacobi forms  |v Congresses. 
650 4 |a Lie groups  |v Congresses. 
650 4 |a Operator theory  |v Congresses. 
650 4 |a Spectral theory (Mathematics)  |v Congresses. 
700 1 |a Walling, Lynne. 
758 |i has work:  |a The ubiquitous heat kernel (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGxVDkqg4VC8xgt7c79343  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Jorgenson, Jay.  |t Ubiquitous Heat Kernel.  |d Providence : American Mathematical Society, ©2006  |z 9780821836989 
830 0 |a Contemporary Mathematics. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3113189  |z Texto completo 
936 |a BATCHLOAD 
938 |a ProQuest Ebook Central  |b EBLB  |n EBL3113189 
994 |a 92  |b IZTAP