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On Feller processes with sample paths in Besov spaces
journal contributionposted on 2023-06-07, 21:44 authored by Rene Schilling
Under mild regularity assumptions on its domain the infinitesimal generator of a Feller process is known to be a pseudo-differential operator. We give a simple condition on the symbol of the generator in order to characterize the smoothness of the sample paths of real-valued Feller processes in terms of Besov spaces Bpqs(R) . Our result extends previous papers on the paths of Gaussian, symmetric a -stable , , and Lévy processes .
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