Multivariable approximate Carleman-type theorems for complex measures
成果类型：
Article
署名作者：
Chalendar, Isabelle; Partington, Jonathan R.
署名单位：
Universite Claude Bernard Lyon 1; University of Leeds
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/009117906000000377
发表日期：
2007
页码：
384-396
关键词：
摘要：
We prove a multivariable approximate Carleman theorem on the determination of complex measures on R-n and 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 Phragmen-Lindelof-type theorem for analytic functions on C-+(n).