caa a22 4500 44534539X CHVBK 20180317142827.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s00233-011-9310-1 doi (NATIONALLICENCE)springer-10.1007/s00233-011-9310-1 Hazod Wilfried Faculty of Mathematics, Technische Universität Dortmund, 44221, Dortmund, Germany aut Mehler semigroups, Ornstein-Uhlenbeck processes and background driving Lévy processes on locally compact groups and on hypergroups [Elektronische Daten] [Wilfried Hazod] For finite dimensional vector spaces it is well-known that there exists a 1-1-correspondence between distributions of Ornstein-Uhlenbeck type processes (w.r.t. a fixed group of automorphisms) and (background driving) Lévy processes, hence between M- or skew convolution semigroups on the one hand and continuous convolution semigroups on the other. An analogous result could be proved for simply connected nilpotent Lie groups. Here we extend this correspondence to a class of commutative hypergroups. Springer Science+Business Media, LLC, 2011 Semigroup Forum Springer-Verlag 83/2(2011-10-01), 214-240 0037-1912 83:2<214 2011 83 233 https://doi.org/10.1007/s00233-011-9310-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00233-011-9310-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Hazod Wilfried Faculty of Mathematics, Technische Universität Dortmund, 44221, Dortmund, Germany aut NATIONALLICENCE 773 0- Semigroup Forum Springer-Verlag 83/2(2011-10-01), 214-240 0037-1912 83:2<214 2011 83 233 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer