Limits of commutative triangular systems on simply connected step 2- nilpotent Lie groups

DOI10.1007/BF01046787zbMath0742.60011OpenAlexW2000411162WikidataQ115394584 ScholiaQ115394584MaRDI QIDQ1185805

Daniel Neuenschwander

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf01046787

zbMATH Keywords

infinitely divisibleLie groupsnilpotent Lie groupsHeisenberg groupscommutative infinitesimal triangular system

Mathematics Subject Classification ID

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

Related Items

\({\mathcal D}\)-domains of attraction of stable measures on stratified Lie groups, A Gaussian central limit theorem for trimmed products on simply connected step 2-nilpotent Lie groups, Multiple decomposability of probabilities on contractible locally compact groups, Commutative infinitesimal triangular systems on Euclidean motion groups, Limits of commutative triangular systems on real and p-adic groups, The central limit problem on locally compact groups

Cites Work

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• Infinite divisibility II
• Fourier analysis and limit theorems for convolution semigroups on a locally compact group
• Isotropic infinitely divisible measures on symmetric spaces
• Deux théoremes sur les groupes stochastiques compacts
• PROBABILITIES ON LIE GROUPS
• Processes With Independent Increments on a Lie Group
• Infinitely Divisible Distributions on Connected Nilpotent Lie Groups