Title

General Stieltjes moment problems for rapidly decreasing smooth functions

Document Type

Article

Publication Date

1-1-2017

Abstract

We give (necessary and sufficient) conditions on a sequence {fn}∞n=0 of functions under which every generalized Stieltjes moment problem ∞{0 fn(x)φ(x) dx = an; n ∈ N; has solutions φ ∈ S(R) with supp φ ⊆ [0;∞). Furthermore, we consider more general problems of this kind for measure or distribution sequences {fn}∞n=0. We also study vector moment problems with values in Fréchet spaces and multidimensional moment problems.

Publication Source (Journal or Book title)

Studia Mathematica

First Page

271

Last Page

295

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