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• W1537749416 abstract "We study positive continuous additive functionals of diffusion processes associated with Dirichlet forms. We also give necessary and sufficient conditions for a Feynman-Kac semigroup associated with a signed Borel measure to be a strongly continuous semigroup in the relevant L 2-space. We characterize their generators as second order partial differential operators with zero order term (potential) given by a signed measure (which can be so singular as to be nowhere Radon). We also discuss preservation of p-boundedness and L p -smoothing properties of semigroups under perturbations. We also study integral kernels of Feynman-Kac semigroups and provide upper bounds for them." @default.
• W1537749416 created "2016-06-24" @default.
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• W1537749416 date "1991-01-01" @default.
• W1537749416 modified "2023-10-01" @default.
• W1537749416 title "Feynman-Kac semigroups in terms of signed smooth measures" @default.
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• W1537749416 doi "https://doi.org/10.1007/978-3-0348-6413-8_1" @default.
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