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Title
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On differences of Feynman-Kac semigroups : a trace class property = Sur des différences de semi-groupes de Feynman-Kac: une propriété de trace
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Author
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Abstract
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| Let E be a locally compact second countable Hausdorff space, let SIGMA be an open subset of E and let m be a non-negative Radon measure on E. Let K0 be the generator of a symmetric strongly continuous L1 (E, m) - L(infinity) (E, m)-smoothing Feller semigroup {exp (- t K0): t greater-than-or-equal-to 0} consisting of integral operators with continuous kernel. Under the hypotheses that E\SIGMA has finite capacity, that V - belongs to L1 (E, m) and that the square gradient operator exists in an appropriate sense, the operators exp (- t (K0 + V)) - J* exp (- t (K0 + V)SIGMA) J, t > 0, are trace class. Here Jf is the restriction to SIGMA of the function f, defined on E. |
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Language
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French
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Source (journal)
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Comptes rendus de l'Académie des sciences : Série 1, Mathématique. - Paris, 1984 - 2001
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Comptes rendus des séances de l'Académie des sciences: série 1: sciences mathématiques
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Publication
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Paris
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Elsevier
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1992
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ISSN
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0764-4442
[print]
1778-3577
[online]
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Volume/pages
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314
:13
(1992)
, p. 997-1002
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ISI
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A1992JC50300007
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