Continuity properties of integral kernels associated with Schroedinger operators on manifolds

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dc.creatorBruening, Jochen
dc.creatorGeyler, Vladimir
dc.creatorPankrashkin, Konstantin
dc.date2004-10-18
dc.date2006-07-19
dc.date.accessioned2026-07-07T08:49:45Z
dc.date.available2026-07-07T08:49:45Z
dc.descriptionFor Schroedinger operators (including those with magnetic fields) with singular (locally integrable) scalar potentials on manifolds of bounded geometry, we study continuity properties of some related integral kernels: the heat kernel, the Green function, and also kernels of some other functions of the operator. In particular, we show the joint continuity of the heat kernel and the continuity of the Green function outside the diagonal. The proof makes intensive use of the Lippmann-Schwinger equation.
dc.description38 pages, major revision; to appear in Annales Henri Poincare (2007)
dc.identifierhttps://arxiv.org/abs/math-ph/0410042
dc.identifierhttp://arxiv.org/abs/math-ph/0410042
dc.identifierAnn. Henri Poincare 8 (2007) 781-816
dc.identifierdoi:10.1007/s00023-006-0322-z
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144414
dc.subjectMathematical Physics
dc.subjectFunctional Analysis
dc.subject47D08 (Primary); 47B25, 47B34 (Secondary)
dc.titleContinuity properties of integral kernels associated with Schroedinger operators on manifolds
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