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20132023
most citedThe full infinite dimensional moment problem on semi-algebraic sets of generalized functions

18 citations · 103 across the 15 of their papers we have counts for

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9 papers · 1 filter

math.FA2023★ 5 cited

Moment problem for algebras generated by a nuclear space

Maria Infusino, Salma Kuhlmann, Tobias Kuna +1

We establish a criterion for the existence of a representing Radon measure for linear functionals defined on a unital commutative real algebra , which we assume to be generated…

math.FA2022★ 7 cited

An intrinsic characterization of moment functionals in the compact case

Maria Infusino, Salma Kuhlmann, Tobias Kuna +1

We consider the class of all linear functionals on a unital commutative real algebra that can be represented as an integral w.r.t. to a Radon measure with compact support i…

math.FA2020★ 4 cited

The Truncated Moment Problem for Unital Commutative R-Algebras

Raul E. Curto, Mehdi Ghasemi, Maria Infusino +1

We investigate when a linear functional defined on a linear subspace of a unital commutative real algebra admits an integral representation w.r.t. a positive Radon meas…

math.FA2019★ 3 cited

Projective limits techniques for the infinite dimensional moment problem

Maria Infusino, Salma Kuhlmann, Tobias Kuna +1

We deal with the following general version of the classical moment problem: when can a linear functional on a unital commutative real algebra be represented as an integral with…

math.FA2018★ 16 cited

The full moment problem on subsets of probabilities and point configurations

Maria Infusino, Tobias Kuna

The aim of this paper is to study the full moment problem for measures supported on some particular non-linear subsets of an infinite dimensional vector space. We focus on…

math.FA2016★ 12 cited

Infinite dimensional moment problem: open questions and applications

Maria Infusino, Salma Kuhlmann

Infinite dimensional moment problems have a long history in diverse applied areas dealing with the analysis of complex systems but progress is hindered by the lack of a general und…

math.FA2016★ 4 cited

On the determinacy of the moment problem for symmetric algebras of a locally convex space

Maria Infusino, Salma Kuhlmann, Murray Marshall

This note aims to show a uniqueness property for the solution (whenever exists) to the moment problem for the symmetric algebra of a locally convex space . Let b…

math.FA2015★ 7 cited

Moment problem for symmetric algebras of locally convex spaces

M. Ghasemi, M. Infusino, S. Kuhlmann +1

It is explained how a locally convex (lc) topology on a real vector space extends to a locally multiplicatively convex (lmc) topology on the symmetric algebra…

math.FA2014★ 6 cited

Quasi-analyticity and determinacy of the full moment problem from finite to infinite dimensions

Maria Infusino

This paper is aimed to show the essential role played by the theory of quasi-analytic functions in the study of the determinacy of the moment problem on finite and infinite-dimensi…