We prove a multivariable approximate Carleman theorem on the determination of complex measures on ℝn and ℝn+ 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 ℂ+n.
Publié le : 2007-01-14
Classification:
Moments of measures on ℝn,
functions of exponential type,
Denjoy–Carleman maximum principle,
Phragmen–Lindelof theorems,
26E10,
44A60,
32A22,
42B10
@article{1174324134,
author = {Chalendar, Isabelle and Partington, Jonathan R.},
title = {Multivariable approximate Carleman-type theorems for complex measures},
journal = {Ann. Probab.},
volume = {35},
number = {1},
year = {2007},
pages = { 384-396},
language = {en},
url = {http://dml.mathdoc.fr/item/1174324134}
}
Chalendar, Isabelle; Partington, Jonathan R. Multivariable approximate Carleman-type theorems for complex measures. Ann. Probab., Tome 35 (2007) no. 1, pp. 384-396. http://gdmltest.u-ga.fr/item/1174324134/