General Stieltjes moment problems for rapidly decreasing smooth functions
Studia Mathematica, Tome 238 (2017) no. 3, pp. 271-295
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We give (necessary and sufficient) conditions on a sequence $\{
f_{n}\} _{n=0}^{\infty}$ of functions under which every generalized
Stieltjes moment problem
\[
\int_{0}^{\infty} f_{n}(x)\phi(x)\,{d} x=a_{n}, \ \quad n\in\mathbb{N},
\]
has solutions $\phi\in\mathcal{S}(\mathbb{R})$ with $\operatorname{supp}
\phi\subseteq[0,\infty)$. Furthermore, we consider more general problems of
this kind for measure or distribution sequences $\{ f_{n}\}
_{n=0}^{\infty}$. We also study vector moment problems with values in Fréchet spaces and multidimensional moment problems.
Keywords:
necessary sufficient conditions sequence infty functions under which every generalized stieltjes moment problem int infty phi quad mathbb has solutions phi mathcal mathbb operatorname supp phi subseteq infty furthermore consider general problems kind measure distribution sequences infty study vector moment problems values chet spaces multidimensional moment problems
Affiliations des auteurs :
Ricardo Estrada 1 ; Jasson Vindas 2
@article{10_4064_sm8728_3_2017,
author = {Ricardo Estrada and Jasson Vindas},
title = {General {Stieltjes} moment problems for rapidly decreasing smooth functions},
journal = {Studia Mathematica},
pages = {271--295},
publisher = {mathdoc},
volume = {238},
number = {3},
year = {2017},
doi = {10.4064/sm8728-3-2017},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm8728-3-2017/}
}
TY - JOUR AU - Ricardo Estrada AU - Jasson Vindas TI - General Stieltjes moment problems for rapidly decreasing smooth functions JO - Studia Mathematica PY - 2017 SP - 271 EP - 295 VL - 238 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm8728-3-2017/ DO - 10.4064/sm8728-3-2017 LA - en ID - 10_4064_sm8728_3_2017 ER -
%0 Journal Article %A Ricardo Estrada %A Jasson Vindas %T General Stieltjes moment problems for rapidly decreasing smooth functions %J Studia Mathematica %D 2017 %P 271-295 %V 238 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/sm8728-3-2017/ %R 10.4064/sm8728-3-2017 %G en %F 10_4064_sm8728_3_2017
Ricardo Estrada; Jasson Vindas. General Stieltjes moment problems for rapidly decreasing smooth functions. Studia Mathematica, Tome 238 (2017) no. 3, pp. 271-295. doi: 10.4064/sm8728-3-2017
Cité par Sources :