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Malliavin calculus for stable processes on homogeneous groups. (English) Zbl 0745.60055
Let \(\{\mu_ t\}_{t>0}\) be a symmetric semigroup of stable measures on a homogeneous group with smooth Lévy measure. The author applies the Malliavin calculus for jump processes to prove that the measures \(\mu_ t\) have smooth densities.

MSC:
60H07 Stochastic calculus of variations and the Malliavin calculus
22E25 Nilpotent and solvable Lie groups
60J99 Markov processes
60J75 Jump processes (MSC2010)
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