Stable semi-groups of measures on the Heisenberg group

Let ${μ_{t}}_{t > 0}$ be a symmetric semigroup of stable measures on a homogeneous group, with smooth Lévy measure. Applying Malliavin calculus for jump processes we prove that the measures $μ_{t}$ have smooth densities.

Correspondence Between Semi-Measures and Small Systems

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Matematický časopis

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Colloquium Mathematicae

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Inventiones mathematicae

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