Convolution semigroups of stable distributions over a nilpotent Lie group

DOI10.3792/pjaa.70.305zbMath0824.60007OpenAlexW2042147351WikidataQ115219934 ScholiaQ115219934MaRDI QIDQ1805018

Hiroshi Kunita

Publication date: 31 October 1995

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.70.305

zbMATH Keywords

representation theoreminfinitesimal generatorsimply connected nilpotent Lie groupconvolution semigroup of probability distributions

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Characteristic functions; other transforms (60E10) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Measure algebras on groups, semigroups, etc. (43A10)

Related Items

Stable limit distributions over a nilpotent Lie group

Cites Work

• Strictly operator-stable distributions
• Semi-Groups of Measures on Lie Groups
• Stable semi-groups of measures on the Heisenberg group
• Operator-Stable Probability Distributions on Vector Groups
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