Convolution roots and embeddings of probability measures on Lie groups

DOI10.1016/j.aim.2006.05.002zbMath1124.60009OpenAlexW2100601085WikidataQ115362124 ScholiaQ115362124MaRDI QIDQ864570

M. McCrudden, Shrikrishna G. Dani

Publication date: 12 February 2007

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2006.05.002

zbMATH Keywords

embeddinginfinite divisibilityprobability measuresconvolution roots

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Analysis on other specific Lie groups (43A80) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items

On rationally embeddable measures on Lie groups, Convolution of probability measures on Lie groups and homogenous spaces, On the embeddability of certain infinitely divisible probability measures on Lie groups, Convolution roots and embeddings of probability measures on locally compact groups, Tercentennial anniversary of Bernoulli’s law of large numbers, A generalised Gangolli-Lévy-Khintchine formula for infinitely divisible measures and Lévy processes on semi-simple Lie groups and symmetric spaces

Cites Work

• Factors, roots and embeddability of measures on Lie groups
• Factors and roots of large measures on connected Lie groups
• Embeddability of infinitely divisible distributions on linear Lie groups
• On nth roots and infinitely divisible elements in a connected Lie group
• Note on faithful representations and a local property of Lie groups
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