Non‐classical Tauberian and Abelian type criteria for the moment problem
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DOI: 10.1002/mana.202000018
Abstract: The aim of this paper is to provide some new criteria for the Stieltjes moment problem. We first give a Tauberian type criterion for moment indeterminacy that is expressed purely in terms of the asymptotic… read more here.
Keywords: moment problem; classical tauberian; non classical; moment ... See more keywords
Projective Limit Techniques for the Infinite Dimensional Moment Problem
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DOI: 10.1007/s00020-022-02692-6
Abstract: We deal with the following general version of the classical moment problem: when can a linear functional on a unital commutative real algebra A be represented as an integral with respect to a Radon measure… read more here.
Keywords: moment problem; algebra; projective limit; problem ... See more keywords
The multidimensional truncated moment problem: Atoms, determinacy, and core variety
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DOI: 10.1016/j.jfa.2017.11.013
Abstract: Abstract This paper is about the moment problem on a finite-dimensional vector space of continuous functions. We investigate the structure of the convex cone of moment functionals (supporting hyperplanes, exposed faces, inner points) and treat… read more here.
Keywords: determinacy; moment; core variety; moment problem ... See more keywords
A generalized trigonometric moment problem in a weighted L2(−∞,0) space
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DOI: 10.1016/j.jmaa.2021.125675
Abstract: Abstract In this paper we consider a generalized trigonometric moment problem in a weighted L 2 ( − ∞ , 0 ) space. We obtain a solution which is in the closed span of some… read more here.
Keywords: moment problem; weighted space; trigonometric moment;
Algebraic description of the finite Stieltjes moment problem
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DOI: 10.1016/j.laa.2018.09.026
Abstract: Abstract The Stieltjes problem of moments seeks for a nondecreasing positive distribution function μ ( λ ) on the semi-axis [ 0 , + ∞ ) so that its moments match a given infinite sequence… read more here.
Keywords: description; moment problem; stieltjes moment; finite stieltjes ... See more keywords