The symmetry group and exponents of operator stable probability measures

DOI10.1214/AOP/1176992455zbMath0603.60011OpenAlexW1996447901MaRDI QIDQ1082708

William N. Hudson, Zbigniew J. Jurek, Jerry Alan Veeh

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1214/aop/1176992455

zbMATH Keywords

Levy measureoperator-stable probability measure

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07)

Related Items (14)

Multivariable Regular Variation of Functions and Measures ⋮ Limit theorems related to a class of operator-self-similar processes ⋮ Norming operators for generalized domains of attraction ⋮ Symmetry groups in \(d\)-space ⋮ Rates of convergence in the operator-stable limit theorem ⋮ Operator stable laws: Series representations and domains of normal attraction ⋮ Properties of operator stable distributions in infinite-dimensional Banach spaces ⋮ Centering problems for probability measures on finite-dimensional vector spaces ⋮ Polar decomposition of scale-homogeneous measures with application to Lévy measures of strictly stable laws ⋮ On the Existence and Convergence of Pseudomoments for Variables in the Domain of Normal Attraction of an Operator Stable Distribution ⋮ Series representation for operator semistable laws and domains of normal attraction ⋮ Normalisers and centralisers of compact matrix groups. An elementary approach ⋮ Regular variation and generalized domains of attraction in \(\mathbb{R}^ k\) ⋮ The structure of the exponents and symmetries of an operator stable measure

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