The ubiquitous heat kernel : [electronic resource] AMS special session, the ubiquitous heat kernel, October 2-4, 2003, Boulder, Colorado / Jay Jorgenson, Lynne Walling, editors.

Contributor(s): Jorgenson, Jay | Walling, Lynne, 1958-Material type: TextTextSeries: Contemporary mathematics (American Mathematical Society) ; v. 398.Publication details: Providence, R.I. : American Mathematical Society, c2006Description: 1 online resource (v, 402 p. : ill.)ISBN: 9780821879887 (online)Subject(s): Heat equation -- Congresses | Lie groups -- Congresses | Jacobi forms -- Congresses | Geometry, Algebraic -- Congresses | Operator theory -- Congresses | Global differential geometry -- Congresses | Spectral theory (Mathematics) -- CongressesAdditional physical formats: ubiquitous heat kernel :DDC classification: 515/.353 LOC classification: QA377 | .U25 2006Online resources: Contents | Contents
Contents:
Positivity of zeta distributions and small unitary representations / L. Barchini, M. Sepanski and R. Zierau -- http://www.ams.org/conm/398/ http://dx.doi.org/10.1090/conm/398/07482 The heat equation and representations of the Jacobi group / Rolf Berndt -- http://www.ams.org/conm/398/ http://dx.doi.org/10.1090/conm/398/07483 Kato's inequality and asymptotic spectral properties for discrete magnetic Laplacians / J�ozef Dodziuk and Varghese Mathai -- http://www.ams.org/conm/398/ http://dx.doi.org/10.1090/conm/398/07484 The heat kernel in low-dimensional quantum theories / Dana S. Fine -- http://www.ams.org/conm/398/ http://dx.doi.org/10.1090/conm/398/07485 Heat kernels on weighted manifolds and applications / Alexander Grigoryan -- http://www.ams.org/conm/398/ http://dx.doi.org/10.1090/conm/398/07486 Heat kernels in geometric evolution equations / Joseph F. Grotowski -- http://www.ams.org/conm/398/ http://dx.doi.org/10.1090/conm/398/07487 The range of the heat operator / Brian C. Hall -- http://www.ams.org/conm/398/ http://dx.doi.org/10.1090/conm/398/07488 Heat kernels and cycles / Bruno Harris -- http://www.ams.org/conm/398/ http://dx.doi.org/10.1090/conm/398/07489 Green currents on K�ahler manifolds / Georg Hein -- http://www.ams.org/conm/398/ http://dx.doi.org/10.1090/conm/398/07490 Heat kernels and Riesz transforms / Steve Hofmann -- http://www.ams.org/conm/398/ http://dx.doi.org/10.1090/conm/398/07491 The contest between the kernels in the Selberg trace formula for the $(q+1)$-regular tree / Matthew D. Horton, Derek B. Newland and Audrey A. Terras -- http://www.ams.org/conm/398/ http://dx.doi.org/10.1090/conm/398/07492 Expressing Arakelov invariants using hyperbolic heat kernels / Jay Jorgenson and J�urg Kramer -- http://www.ams.org/conm/398/ http://dx.doi.org/10.1090/conm/398/07493 Grassmannians of higher local fields and multivariable tau functions / Min Ho Lee and Emma Previato -- http://www.ams.org/conm/398/ http://dx.doi.org/10.1090/conm/398/07494 Heat kernels and the range of the trace on completions of twisted group algebras / Varghese Mathai -- http://www.ams.org/conm/398/ http://dx.doi.org/10.1090/conm/398/07495 Theta functions, old and new / Emma Previato -- http://www.ams.org/conm/398/ http://dx.doi.org/10.1090/conm/398/07496 The heat kernel on the symmetric space ${\rm SL}(n,{\bf F})/{\rm SU}(n,{\bf F})$ / P. Sawyer -- http://www.ams.org/conm/398/ http://dx.doi.org/10.1090/conm/398/07497 Incidence structure / Bin Wang -- http://www.ams.org/conm/398/ http://dx.doi.org/10.1090/conm/398/07498
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Includes bibliographical references.

Positivity of zeta distributions and small unitary representations / L. Barchini, M. Sepanski and R. Zierau -- The heat equation and representations of the Jacobi group / Rolf Berndt -- Kato's inequality and asymptotic spectral properties for discrete magnetic Laplacians / J�ozef Dodziuk and Varghese Mathai -- The heat kernel in low-dimensional quantum theories / Dana S. Fine -- Heat kernels on weighted manifolds and applications / Alexander Grigoryan -- Heat kernels in geometric evolution equations / Joseph F. Grotowski -- The range of the heat operator / Brian C. Hall -- Heat kernels and cycles / Bruno Harris -- Green currents on K�ahler manifolds / Georg Hein -- Heat kernels and Riesz transforms / Steve Hofmann -- The contest between the kernels in the Selberg trace formula for the $(q+1)$-regular tree / Matthew D. Horton, Derek B. Newland and Audrey A. Terras -- Expressing Arakelov invariants using hyperbolic heat kernels / Jay Jorgenson and J�urg Kramer -- Grassmannians of higher local fields and multivariable tau functions / Min Ho Lee and Emma Previato -- Heat kernels and the range of the trace on completions of twisted group algebras / Varghese Mathai -- Theta functions, old and new / Emma Previato -- The heat kernel on the symmetric space ${\rm SL}(n,{\bf F})/{\rm SU}(n,{\bf F})$ / P. Sawyer -- Incidence structure / Bin Wang --

http://www.ams.org/conm/398/

http://dx.doi.org/10.1090/conm/398/07482

http://www.ams.org/conm/398/

http://dx.doi.org/10.1090/conm/398/07483

http://www.ams.org/conm/398/

http://dx.doi.org/10.1090/conm/398/07484

http://www.ams.org/conm/398/

http://dx.doi.org/10.1090/conm/398/07485

http://www.ams.org/conm/398/

http://dx.doi.org/10.1090/conm/398/07486

http://www.ams.org/conm/398/

http://dx.doi.org/10.1090/conm/398/07487

http://www.ams.org/conm/398/

http://dx.doi.org/10.1090/conm/398/07488

http://www.ams.org/conm/398/

http://dx.doi.org/10.1090/conm/398/07489

http://www.ams.org/conm/398/

http://dx.doi.org/10.1090/conm/398/07490

http://www.ams.org/conm/398/

http://dx.doi.org/10.1090/conm/398/07491

http://www.ams.org/conm/398/

http://dx.doi.org/10.1090/conm/398/07492

http://www.ams.org/conm/398/

http://dx.doi.org/10.1090/conm/398/07493

http://www.ams.org/conm/398/

http://dx.doi.org/10.1090/conm/398/07494

http://www.ams.org/conm/398/

http://dx.doi.org/10.1090/conm/398/07495

http://www.ams.org/conm/398/

http://dx.doi.org/10.1090/conm/398/07496

http://www.ams.org/conm/398/

http://dx.doi.org/10.1090/conm/398/07497

http://www.ams.org/conm/398/

http://dx.doi.org/10.1090/conm/398/07498

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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