Operator-semistable, operator semi-selfdecomposable probability measures and related nested classes on \(p\)-adic vector spaces

DOI10.1007/s00605-007-0482-4zbMath1132.60007OpenAlexW2127167500MaRDI QIDQ996086

Makoto Maejima, Riddhi Shah

Publication date: 11 September 2007

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-007-0482-4

zbMATH Keywords

infinitely divisible measureembeddable measureoperator semi-selfdecomposable measureoperator-semistable measure

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (3)

Multiple decomposability of probabilities on contractible locally compact groups ⋮ Domains of operator semi-attraction of probability measures on Banach spaces ⋮ On the uniqueness of semistable embedding and domain of semistable attraction for probability measures on \(p\)-adic groups

Cites Work

• Semistable measures and limit theorems on real and \(p\)-adic groups
• The Mautner phenomenon for p-adic Lie groups
• Moments and projections of semistable probability measures on \(p\)-adic vector spaces
• Completely operator semi-selfdecomposable distributions
• On infiniteley divisible distributions on locally compact Abelian groups
• Operator semi-selfdecomposable measures and related nested subclasses of measures on vector spaces
• Operator semi-selfdecomposability, \((C,Q)\)-decomposability and related nested classes
• Contractive automorphisms on locally compact groups
• Infinitely divisible measures on p-adic groups
• Contraction subgroups and semistable measures on p-adic Lie groups
• Factorisation theorems for \(T\)-decomposable measures on groups

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