Operator semi-selfdecomposable measures and related nested subclasses of measures on vector spaces

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dc.creatorRaja, C. R. E.
dc.date2002-12-24
dc.date2003-06-19
dc.date.accessioned2026-07-07T04:54:02Z
dc.date.available2026-07-07T04:54:02Z
dc.description$T$-semi-selfdecomposability and subclasses $L_m(b, Q)$ and $\tilde L_m(b, Q)$ of measures on complete separable metric vector spaces are introduced and basic properties are proved. In particular, we show that $μ$ is $T$-semi-selfdecomposable if and only if $μ= T(μ) ν$ where $ν$ is infinitely divisible and $μ$ is operator selfdecomposable if and only if $μ\in L_0(b, Q)$ for all $0< b < 1$.
dc.description15 pages, revised version and Theorem 5 is modified
dc.identifierhttps://arxiv.org/abs/math/0212331
dc.identifierhttp://arxiv.org/abs/math/0212331
dc.identifierMonatsh. Math. 142 (2004) 351-361
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66088
dc.subjectProbability
dc.subject60B11, 60B12
dc.titleOperator semi-selfdecomposable measures and related nested subclasses of measures on vector spaces
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