Weakly infinitely divisible measures on some locally compact Abelian groups

DOI10.1007/s10986-008-0002-9zbMath1152.43002arXiv0707.2186OpenAlexW2963859814MaRDI QIDQ946796

Gyula Pap, Mátyás Barczy

Publication date: 24 September 2008

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.2186

zbMATH Keywords

torusp-adic integersp-adic solenoidweakly infinitely divisible measures

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Measures on groups and semigroups, etc. (43A05) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (1)

Explicit representation of roots on \(p\)-adic solenoids and non-uniqueness of embeddability into rational one-parameter subgroups

Cites Work

• On infiniteley divisible distributions on locally compact Abelian groups
• Fractal geometry for images of continuous embeddings of \(p\)-adic numbers and solenoids into Euclidean spaces
• Explicit representation of roots on \(p\)-adic solenoids and non-uniqueness of embeddability into rational one-parameter subgroups
• Unendlich oft teilbare Wahrscheinlichkeitsverteilungen auf kompakten Gruppen. (Infinitely divisible probability distributions on compact groups)
• Limit theorems on locally compact Abelian groups
• Haar Measure and the Semigroup of Measures on a Compact Group
• The structure of compact groups. A primer for the student -- a handbook for the expert
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