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(Non)Differentiability and asymptotics for potential densities of subordinators. (English) Zbl 1226.60115
Summary: For subordinators with positive drift, we extend recent results on the structure of the potential measures and the renewal densities. Applying Fourier analysis a new representation of the potential densities is derived from which we deduce asymptotic results and show how the atoms of the Levy measure translate into points of (non)differentiability of the potential densities.

MSC:
60J75 Jump processes (MSC2010)
60K99 Special processes
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