Add to ORKGAbstract. The most prominent examples of (operator-) selfdecompos-able laws on vector spaces are (operator-) stable laws. In the past (operator-) semistability — a natural generalisation — had been in-tensively investigated, hence the description of the intersection of the classes of semistable and selfdecomposable laws turned out to be a chal-lenging problem, which was finally solved by A. Luczak’s investigations [17]. For probabilities on groups, in particular on simply connected nilpo-tent Lie groups there exists meanwhile a satisfying theory of decom-posability and semistability. Consequently it is possible to obtain a description of the intersection of these classes of measures — under additional commutativity assumptions — leading fin...
AbstractWe prove imbedding theorems in the setting of abstract symmetric sub-markovian semi-groups, ...
The object of this paper is twofold: In the first part, we unify and extend the recent developments ...
It is shown that operator-selfdecomposable measures or, more precisely, their Urbanik decomposabilit...
AbstractOperator-stable laws and operator-semistable laws (introduced as limit distributions by M. S...
Let (X_t) be a Lévy process on a simply connected nilpotent Lie group with corresponding continuous ...
"By definition any stable distribution is semistable. For the converse relation we will show that ce...
Continuous one-parameter semigroups {μ <SUB>t</SUB>}<SUB>t≥ 0</SUB> of probability measur...
We summarize the relations among three classes of laws: infinitely divisible, self-decomposable and ...
The classical Doeblin-Gnedenko conditions characterizing the domain of attraction of a non-Gaussian ...
In the classical case of the real line, it is clear from the very definition that non-degenerate sta...
AbstractEarly investigations of operator stable laws and operator self-similar stochastic processes ...
ABSTRACT. We use selected semi-groups of self maps of a semi-metric space to obtain fixed point theo...
We prove that the convolution of a selfdecomposable distribution with its background driving law is ...
Operator decomposable probabilities on vector spaces – generalizing (semi-)stable and self-decompos...
ABSTRACT. Let T(t) and T'(t) be semi-groups of bounded linear operators on a Banach space, and ...
AbstractWe prove imbedding theorems in the setting of abstract symmetric sub-markovian semi-groups, ...
The object of this paper is twofold: In the first part, we unify and extend the recent developments ...
It is shown that operator-selfdecomposable measures or, more precisely, their Urbanik decomposabilit...
AbstractOperator-stable laws and operator-semistable laws (introduced as limit distributions by M. S...
Let (X_t) be a Lévy process on a simply connected nilpotent Lie group with corresponding continuous ...
"By definition any stable distribution is semistable. For the converse relation we will show that ce...
Continuous one-parameter semigroups {μ <SUB>t</SUB>}<SUB>t≥ 0</SUB> of probability measur...
We summarize the relations among three classes of laws: infinitely divisible, self-decomposable and ...
The classical Doeblin-Gnedenko conditions characterizing the domain of attraction of a non-Gaussian ...
In the classical case of the real line, it is clear from the very definition that non-degenerate sta...
AbstractEarly investigations of operator stable laws and operator self-similar stochastic processes ...
ABSTRACT. We use selected semi-groups of self maps of a semi-metric space to obtain fixed point theo...
We prove that the convolution of a selfdecomposable distribution with its background driving law is ...
Operator decomposable probabilities on vector spaces – generalizing (semi-)stable and self-decompos...
ABSTRACT. Let T(t) and T'(t) be semi-groups of bounded linear operators on a Banach space, and ...
AbstractWe prove imbedding theorems in the setting of abstract symmetric sub-markovian semi-groups, ...
The object of this paper is twofold: In the first part, we unify and extend the recent developments ...
It is shown that operator-selfdecomposable measures or, more precisely, their Urbanik decomposabilit...