Veranstaltungen
Veranstaltungen der Fakultät für Mathematik
On relations between Urbanik and Mehler semigroups, als ossa
Termin
26.06.2008, 16.15 Uhr -
Veranstaltungsort
SR 611
Abstract
It is shown that operator-selfdecomposable measures, or more precisely their Urbanik decomposability semigroups, induce generalized Mehler semigroups of bounded linear operators. Moreover, those semigroups can be represented as random integrals of operator valued functions with respect to stochastic Lévy processes. Our Banach space setting is in the contrast with the Hilbert spaces on which so far and most often the generalized Mehler semigroups were studied.
Furthermore, we give new proofs of the random integral representation.
Vortragende(r)
Prof. Dr. Zbigniew J. Jurek
Herkunft der/des Vortragenden
Universität Breslau