1Departamento de Análisis Matemático y Didáctica de la Matemática Facultad de Ciencias Universidad de Valladolid Paseo del Prado de la Magdalena s//n 47005 Valladolid, Spain
Studia Mathematica, Tome 192 (2009) no. 2, pp. 111-128
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
$\boldsymbol M$. Necessary and sufficient conditions on $\boldsymbol M$ 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.
Keywords:
stieltjes moment problem studied framework general gelfand shilov spaces subspaces space rapidly decreasing smooth complex functions which defined imposing suitable bounds their elements terms given sequence boldsymbol necessary sufficient conditions boldsymbol stated problem have solution sometimes coming linear continuous right inverses moment map sending function sequence its moments results existence continuous right inverses borel map obtained ultraholomorphic classes sectors
Affiliations des auteurs :
Alberto Lastra
1
;
Javier Sanz
1
1
Departamento de Análisis Matemático y Didáctica de la Matemática Facultad de Ciencias Universidad de Valladolid Paseo del Prado de la Magdalena s//n 47005 Valladolid, Spain
@article{10_4064_sm192_2_2,
author = {Alberto Lastra and Javier Sanz},
title = {Stieltjes moment problem in general {Gelfand{\textendash}Shilov} spaces},
journal = {Studia Mathematica},
pages = {111--128},
year = {2009},
volume = {192},
number = {2},
doi = {10.4064/sm192-2-2},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm192-2-2/}
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AU - Alberto Lastra
AU - Javier Sanz
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Alberto Lastra; Javier Sanz. Stieltjes moment problem in general Gelfand–Shilov spaces. Studia Mathematica, Tome 192 (2009) no. 2, pp. 111-128. doi: 10.4064/sm192-2-2
