On infiniteley divisible distributions on locally compact Abelian groups

DOI10.1023/A:1007850210027zbMath0971.60008OpenAlexW108047738MaRDI QIDQ1592267

Kumi Yasuda

Publication date: 18 October 2001

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1007850210027

zbMATH Keywords

\(p\)-adic fieldsemi-stablesemi-selfdecomposable

Mathematics Subject Classification ID

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

Related Items (14)

Sobolev space and Dirichlet space associated with symmetric Markov process on a local field ⋮ Limit theorems for \(p\)-adic valued asymmetric semistable laws and processes ⋮ Moments and projections of semistable probability measures on \(p\)-adic vector spaces ⋮ Semi-stable processes on local fields ⋮ Large deviations for scaled sums of \(p\)-adic-valued rotation-symmetric independent and identically distributed random variables ⋮ Transition semi-groups on a local field induced by Galois group and their representation ⋮ Time-inhomogeneous stochastic processes on the \(p\)-adic number field ⋮ Weakly infinitely divisible measures on some locally compact Abelian groups ⋮ Probabilistic trace and Poisson summation formulae on locally compact abelian groups ⋮ On the asymptotic growth rate of the sum of \(p\)-adic-valued independent identically distributed random variables ⋮ Weak solutions of stochastic differential equations over the field of \(p\)-adic numbers ⋮ \((r, p)\)-capacity and Hausdorff measure on a local field ⋮ Pseudodifferential operators and Markov processes on adèles ⋮ Operator-semistable, operator semi-selfdecomposable probability measures and related nested classes on \(p\)-adic vector spaces

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