Multivariable approximate Carleman-type theorems for complex measures

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We 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 ${\mathbb{C}}_+^n$.
Published 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)

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Probability, 26E10, 44A60 (Primary) 32A22, 42B10 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/126488

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0703809
 http://arxiv.org/abs/math/0703809
 Annals of Probability 2007, Vol. 35, No. 1, 384-396
 doi:10.1214/009117906000000377

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arXiv