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Titlebook: Evolution Processes and the Feynman-Kac Formula; Brian Jefferies Book 1996 Springer Science+Business Media Dordrecht 1996 Feynman-Kac form

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Feynman-Kac Formulae,igroup of continuous linear operators acting on . and that .: . → .(.) is a spectral measure, so that . is a .-additive (.)-process. Recall that this means that for each . ≥ 0, ..: .. → ℒ(.) is a .-additive set function defined on a .-algebra .. of subsets of Ω containing the collection ..{.} of all
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Some Bounded Evolution Processes,y with transition functions for probabilistic Markov processes. In practice, it is simpler to work with semigroups of linear operators directly, but for the purpose of making the exposition more complete, the technique is outlined in Sections 1 and 2.
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The Radial Dirac Process,l operators .., . = ±1, ±2,..., acting on ..((0, ∞); ℂ.). The first order part of .. looks similar to the generator of the direct sum of translations in each component of . ∈ ..((0, ∞); ℂ.). The part of order zero has a 1/.-singularity at . = 0.
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Sebastian Robert,Achim Hendriks measured by a collection of operator valued set functions that may or may not be .-additive. Typically, the set functions are constructed from a semigroup representing the undisturbed evolution of a system, and a spectral measure by which perturbations are implemented.
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