Multivariable approximate Carleman-type theorems for complex measures

Details Multivariable approximate Carleman-type theorems for complex measures Multivariable approximate Carleman-type theorems for complex measures

2007-03-27

arxiv.org/abs/math/0703809v1

Annals of Probability 2007, Vol. 35, No. 1, 384-396

Mathematics

Probability

Published at http://dx.doi.org/10.1214/009117906000000377 in the Annals of Probability (http://www.imstat.org/aop/) by the Ins

Scientific paper

10.1214/009117906000000377

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 Phragm\'{e}n--Lindel\"{o}f-type theorem for analytic functions on ${\mathbb{C}}_+^n$.

Affiliated with

Also associated with

No associations

Rating

Multivariable approximate Carleman-type theorems for complex measures does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Multivariable approximate Carleman-type theorems for complex measures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multivariable approximate Carleman-type theorems for complex measures will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-372935