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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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| 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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French
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| Source (journal) |
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Comptes rendus hebdomadaires des séances de l'Académie des sciences : série A : sciences mathématiques. - Paris, 1984 - 2001 | |
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Comptes rendus des séances de l'Académie des sciences: série 1: sciences mathématiques | |
| Publication |
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Paris : 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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