On powers of Stieltjes moment sequences, II

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dc.creatorBerg, Christian
dc.date2004-12-17
dc.date.accessioned2026-07-07T05:15:23Z
dc.date.available2026-07-07T05:15:23Z
dc.descriptionWe consider the set of Stieltjes moment sequences, for which every positive power is again a Stieltjes moment sequence, we and prove an integral representation of the logarithm of the moment sequence in analogy to the Lévy-Khinchin representation. We use the result to construct product convolution semigroups with moments of all orders and to calculate their Mellin transforms. As an application we construct a positive generating function for the orthonormal Hermite polynomials.
dc.descriptionpreprint, 21 pages
dc.identifierhttps://arxiv.org/abs/math/0412340
dc.identifierhttp://arxiv.org/abs/math/0412340
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73613
dc.subjectClassical Analysis and ODEs
dc.subjectComplex Variables
dc.subject44A60;33D65
dc.titleOn powers of Stieltjes moment sequences, II
dc.typetext

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