Semistable Selfdecomposable Laws on Groups
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W. Hazod
Abstract
The most prominent examples of (operator-) selfdecomposable laws on vector spaces are (operator-) stable laws. In the past (operator-) semistability — a natural generalisation — had been intensively investigated, hence the description of the intersection of the classes of semistable and selfdecomposable laws turned out to be a challenging problem, which was finally solved by A. Łuczak's investigations [Probab. Theory Related Fields 90: 317–340, 1991].
For probabilities on groups, in particular on simply connected nilpotent Lie groups there exists meanwhile a satisfying theory of decomposability and semistability. Consequently it is possible to obtain a description of the intersection of these classes of measures — under additional commutativity assumptions — leading finally to partial extensions of the above-mentioned results for vector spaces to the group case.
© Heldermann Verlag
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- Semistable Selfdecomposable Laws on Groups
- Topological Approach to Hemivariational Inequalities with Unilateral Growth Condition
- Generalized Solutions of a Periodic Goursat Problem
- On Almost Global Existence for the Cauchy Problem for Compressible Navier-Stokes Equations in the Lp-Framework
- Compositions of Sierpiński–Zygmund Functions from the Left
- Some Modifications of Density Topologies
- On the Topological Entropy of Green Interval Maps
- On the Continuous Dependence on Parameters of Solutions of the Fourth Order Periodic Problem
- Generalized Cantor Sets and Sets of Sums of Convergent Alternating Series
Artikel in diesem Heft
- Semistable Selfdecomposable Laws on Groups
- Topological Approach to Hemivariational Inequalities with Unilateral Growth Condition
- Generalized Solutions of a Periodic Goursat Problem
- On Almost Global Existence for the Cauchy Problem for Compressible Navier-Stokes Equations in the Lp-Framework
- Compositions of Sierpiński–Zygmund Functions from the Left
- Some Modifications of Density Topologies
- On the Topological Entropy of Green Interval Maps
- On the Continuous Dependence on Parameters of Solutions of the Fourth Order Periodic Problem
- Generalized Cantor Sets and Sets of Sums of Convergent Alternating Series
