18 citations · 103 across the 15 of their papers we have counts for
15 papers
Infinite-dimensional moment-SOS hierarchy for nonlinear partial differential equations
Didier Henrion, Maria Infusino, Salma Kuhlmann +1
We formulate a class of nonlinear {evolution} partial differential equations (PDEs) as linear optimization problems on moments of positive measures supported on infinite-dimensiona…
The realizability problem as a special case of the infinite-dimensional truncated moment problem
Raúl E. Curto, Maria Infusino
The realizability problem is a well-known problem in the analysis of complex systems, which can be modeled as an infinite-dimensional moment problem. More precisely, as a truncated…
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…
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…
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…
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…
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…
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…
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…
Translation invariant realizability problem on the dimensional lattice: an explicit construction
Emanuele Caglioti, Maria Infusino, Tobias Kuna
We consider a particular instance of the truncated realizability problem on the dimensional lattice. Namely, given two functions and non-n…
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…
The Truncated Moment Problem on
M. Infusino, T. Kuna, J. L. Lebowitz +1
We find necessary and sufficient conditions for the existence of a probability measure on , the nonnegative integers, whose first moments are a given -tuple of…
Uniform distribution of sequences of points and partitions
Maria Infusino
The interest for uniformly distributed (u.d.) sequences of points, in particular for sequences with small discrepancy, arises from various applications. For instance, low-discrepan…
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…
The full infinite dimensional moment problem on semi-algebraic sets of generalized functions
Maria Infusino, Tobias Kuna, Aldo Rota
We consider a generic basic semi-algebraic subset of the space of generalized functions, that is a set given by (not necessarily countably many) polynomial constraint…