Elliptical symmetry and characterization of operator-stable and operator semi-stable measures

DOI10.1214/aop/1176993151zbMath0549.60007OpenAlexW1976923086MaRDI QIDQ800012

Andrzej Łuczak

Publication date: 1984

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176993151

zbMATH Keywords

infinitely divisible measurefull-operator semi-stable measurequasi- decomposability group

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Probability theory on linear topological spaces (60B11)

Related Items

Supplements to operator-stable and operator-semistable laws on Euclidean spaces ⋮ Operator Semi-Stable Distributions ⋮ Independent marginals of infinitely divisible and operator semi-stable measures ⋮ Centering problems for probability measures on finite-dimensional vector spaces ⋮ Domains of operator semi-attraction of probability measures on Banach spaces ⋮ Limit theorems for probability measures on simply connected nilpotent Lie groups ⋮ Series representation for operator semistable laws and domains of normal attraction ⋮ STABLE AND SEMISTABLE PROBABILITY MEASURES ON CONVEX CONE