On the uniqueness of semistable embedding and domain of semistable attraction for probability measures on \(p\)-adic groups

DOI10.3836/tjm/1202136683zbMath1151.43001OpenAlexW2005108128MaRDI QIDQ932985

Riddhi Shah

Publication date: 21 July 2008

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1202136683

zbMATH Keywords

embedding\(p\)-adic Lie groupsemistable measure

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (1)

Domains of operator semi-attraction of probability measures on Banach 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
• Moments and projections of semistable probability measures on \(p\)-adic vector spaces
• Operator-semistable, operator semi-selfdecomposable probability measures and related nested classes on \(p\)-adic vector spaces
• Automorphisms on a Lie group contracting modulo a compact subgroup and applications to semistable convolution semigroups
• Limit theorems for probability measures on totally disconnected groups
• Contractive automorphisms on locally compact groups
• Contraction subgroups and semistable measures on p-adic Lie groups
• Limits of commutative triangular systems on real and p-adic groups
• Limits of commutative triangular systems on locally compact groups

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