Titlebook: Stochastic Spectral Theory for Selfadjoint Feller Operators; A Functional Integra Michael Demuth,Jan A. Casteren Book 2000 Birkhäuser Verla

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Spectral Properties of Self-adjoint Feller Operators,work in order to investigate some consequences for the different parts of the spectra of the operators.and.For the free Feller operator.we make again the general assumptions BASSA as set forth in the conditions A.1.¡ªA.4. in Chapter 1.B. Additionally we assume that exp(− .) is .-.-smoothing (see Def

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978-3-0348-9577-4Birkhäuser Verlag 2000

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https://doi.org/10.1007/978-3-0348-8460-0Feynman-Kac formula; Markov; Markov process; Martingale; Ornstein-Uhlenbeck process; Probability theory; m

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Resolvent and Semigroup Differences for Feller Operators: Operator Norms,In section A of this chapter we give some weighted norm estimates for differences of Feynman-Kac semigroups. In section B we shall state and prove some general representations for (differences of) singularly perturbed Feynman-Kac semigroups and resolvent families.

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Trace Class Properties of Semigroup Differences,We start with some rather general results on trace norms for integral operators. The proofs of Theorem 6.1, its Corollary 6.2, and Theorem 6.4 are taken from [80].

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ant genetic engineering, due to both similarities with and differences from the plant genetic systems. On the one hand, cyanobacteria share many metabolic pathways with plant cells, and especially with chloroplasts, which may be critical when the transgenic product needs to interact with endogenous

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Michael Demuth,Jan A. van Casterenphragm of the Tokamak TM-2 device [1]. In order to determine the magnitude of the losses and their distribution, we suggested using the diaphragm as a calorimeter and to record (with thermocouples) the temperature changes which develop after a discharge on various sections of the diaphragm. The dist