Non-local Dirichlet forms and symmetric jump processes

We consider the non-local symmetric Dirichlet form (\mathcal {E}, \mathcal {F}) given by \[\mathcal {E} (f,f)=\int \limits _{\mathbb {R}^d} \int \limits _{\mathbb {R}^d} (f(y)-f(x))^2 J(x,y) dx dy ] with \mathcal {F} the closure with respect to \mathcal {E}_1 of the set of C^1 functions on \mathbb {...

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Bibliographic Details
Published in:	Transactions of the American Mathematical Society Vol. 361; no. 4; pp. 1963 - 1999
Main Authors:	Barlow, Martin T., Bass, Richard F., Chen, Zhen-Qing, Kassmann, Moritz
Format:	Journal Article
Language:	English
Published:	Providence, RI American Mathematical Society 01-04-2009
Subjects:	Continuous functions Exact sciences and technology Harmonic functions Inference from stochastic processes; time series analysis Lebesgue measures Markov processes Martingales Mathematical analysis Mathematical functions Mathematical inequalities Mathematics Measure and integration Partial differential equations Perceptron convergence procedure Probability and statistics Probability theory and stochastic processes Sciences and techniques of general use Semigroups Statistics Harnack inequality parabolic symmetric processes Jump processes heat kernel integro-differential operators Dirichlet forms harmonic Markov process Heat equation Closure Position Heat kernel Dirichlet process Statistical estimation Continuous function Direction Harmonic function Kernel method Kernels Dirichlet form Jump process
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