On Relations Between Urbanik and Mehler Semigroups

zbMath1201.60007arXiv0811.2989MaRDI QIDQ3563042

Zbigniew J. Jurek

Publication date: 28 May 2010

Full work available at URL: https://arxiv.org/abs/0811.2989

zbMATH Keywords

Banach spaceLevy processrandom integralgeneralized Mehler semigroupone-parameter strongly continuous semigroupmeasure valued cocycleUrbanik decomposability semigroup

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) One-parameter semigroups and linear evolution equations (47D06) Vector-valued measures and integration (46G10) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12) (C)-semigroups, regularized semigroups (47D60)

Related Items (6)

The random integral representation conjecture: a quarter of a century later ⋮ A two-parameter extension of Urbanik’s product convolution semigroup ⋮ The log-Lévy moment problem via Berg–Urbanik semigroups ⋮ Infinite dimensional Ornstein-Uhlenbeck processes driven by Lévy processes ⋮ Ornstein–Uhlenbeck operators and semigroups ⋮ Mehler semigroups, Ornstein-Uhlenbeck processes and background driving Lévy processes on locally compact groups and on hypergroups

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