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The Generator of a Lévy Process

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Part of the book series: Advanced Courses in Mathematics - CRM Barcelona ((ACMBIRK))

Abstract

We want to study the structure of the generator of (the semigroup corresponding to) a Lévy process \(X\;=\;{(X_{t})}{t}\geqslant {0}\). This will also lead to a proof of the Lévy– Khintchine formula.

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© 2016 Springer International Publishing Switzerland

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Schilling, R. (2016). The Generator of a Lévy Process. In: Utzet, F., Quer-Sardanyons, L. (eds) From Lévy-Type Processes to Parabolic SPDEs. Advanced Courses in Mathematics - CRM Barcelona. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-34120-0_6

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