Multivariable approximate Carleman-type theorems for complex measures

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dc.creatorChalendar, Isabelle
dc.creatorPartington, Jonathan R.
dc.date2007-03-27
dc.date.accessioned2026-07-07T07:54:08Z
dc.date.available2026-07-07T07:54:08Z
dc.descriptionWe prove a multivariable approximate Carleman theorem on the determination of complex measures on ${\mathbb{R}}^n$ and ${\mathbb{R}}^n_+$ by their moments. This is achieved by means of a multivariable Denjoy--Carleman maximum principle for quasi-analytic functions of several variables. As an application, we obtain a discrete Phragmén--Lindelöf-type theorem for analytic functions on ${\mathbb{C}}_+^n$.
dc.descriptionPublished at http://dx.doi.org/10.1214/009117906000000377 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0703809
dc.identifierhttp://arxiv.org/abs/math/0703809
dc.identifierAnnals of Probability 2007, Vol. 35, No. 1, 384-396
dc.identifierdoi:10.1214/009117906000000377
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126488
dc.subjectProbability
dc.subject26E10, 44A60 (Primary) 32A22, 42B10 (Secondary)
dc.titleMultivariable approximate Carleman-type theorems for complex measures
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