Moments and projections of semistable probability measures on \(p\)-adic vector spaces

DOI10.1007/s10959-006-0018-1zbMath1107.60301OpenAlexW2011938267MaRDI QIDQ867074

Riddhi Shah, Makoto Maejima

Publication date: 14 February 2007

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

Full work available at URL: https://doi.org/10.1007/s10959-006-0018-1

zbMATH Keywords

moment of probability measure

Mathematics Subject Classification ID

Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (4)

Semi-stable processes on local fields ⋮ 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 ⋮ Operator-semistable, operator semi-selfdecomposable probability measures and related nested classes on \(p\)-adic vector spaces

Cites Work

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• Semistable measures and limit theorems on real and \(p\)-adic groups
• The Mautner phenomenon for p-adic Lie groups
• Continuous convolution semigroups integrating a submultiplicative function
• Limit theorems for probability measures on totally disconnected groups
• The central limit problem on locally compact groups
• On infiniteley divisible distributions on locally compact Abelian groups
• Certain probabilistic aspects of semistable laws
• Contractive automorphisms on locally compact groups
• Contraction subgroups and semistable measures on p-adic Lie groups
• Limits of commutative triangular systems on locally compact groups

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