Stieltjes moment problem in general Gelfand-Shilov spaces

Alberto Lastra, and Javier Sanz. "Stieltjes moment problem in general Gelfand-Shilov spaces." Studia Mathematica 192.2 (2009): 111-128. <http://eudml.org/doc/284866>.

@article{AlbertoLastra2009,
abstract = {The Stieltjes moment problem is studied in the framework of general Gelfand-Shilov spaces, subspaces of the space of rapidly decreasing smooth complex functions, which are defined by imposing suitable bounds on their elements in terms of a given sequence M. Necessary and sufficient conditions on M are stated for the problem to have a solution, sometimes coming with linear continuous right inverses of the moment map, sending a function to the sequence of its moments. On the way, some results on the existence of continuous right inverses for the Borel map are obtained for ultraholomorphic classes in sectors.},
author = {Alberto Lastra, Javier Sanz},
journal = {Studia Mathematica},
keywords = {Stieltjes moment problem; Gelfand-Shilov spaces; ultraholomorphic classes},
language = {eng},
number = {2},
pages = {111-128},
title = {Stieltjes moment problem in general Gelfand-Shilov spaces},
url = {http://eudml.org/doc/284866},
volume = {192},
year = {2009},
}

TY - JOUR
AU - Alberto Lastra
AU - Javier Sanz
TI - Stieltjes moment problem in general Gelfand-Shilov spaces
JO - Studia Mathematica
PY - 2009
VL - 192
IS - 2
SP - 111
EP - 128
AB - The Stieltjes moment problem is studied in the framework of general Gelfand-Shilov spaces, subspaces of the space of rapidly decreasing smooth complex functions, which are defined by imposing suitable bounds on their elements in terms of a given sequence M. Necessary and sufficient conditions on M are stated for the problem to have a solution, sometimes coming with linear continuous right inverses of the moment map, sending a function to the sequence of its moments. On the way, some results on the existence of continuous right inverses for the Borel map are obtained for ultraholomorphic classes in sectors.
LA - eng
KW - Stieltjes moment problem; Gelfand-Shilov spaces; ultraholomorphic classes
UR - http://eudml.org/doc/284866
ER -