PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

General Stieltjes moment problems for rapidly decreasing smooth functions

Volume 238 / 2017

Ricardo Estrada, Jasson Vindas Studia Mathematica 238 (2017), 271-295 MSC: Primary 30E05, 47A57, 44A60; Secondary 46F05. DOI: 10.4064/sm8728-3-2017 Published online: 12 May 2017


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.


  • Ricardo EstradaDepartment of Mathematics
    Louisiana State University
    Baton Rouge, LA 70803, U.S.A.
  • Jasson VindasDepartment of Mathematics
    Ghent University
    Krijgslaan 281
    B-9000 Gent, Belgium

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image