Abstract.
Pseudodifferential operators with negative definite symbols appear as generators of jump-type Markov processes. The purpose of this paper is to treat the large jumps of the process by a perturbation approach for the generator. This is of particular interest since in this way the generators are made accessible to a symbolic calculus of pseudodifferential operators. The main auxiliary result consists of a characterization of tightness of the jump measures in terms of the symbol.
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Hoh, . Perturbations of Pseudodifferential Operators with Negative Definite Symbol . Appl Math Optim 45, 269–281 (2002). https://doi.org/10.1007/s00245-001-0040-8
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DOI: https://doi.org/10.1007/s00245-001-0040-8