Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Maria Infusino"'
We consider the class of all linear functionals $L$ on a unital commutative real algebra $A$ that can be represented as an integral w.r.t. to a Radon measure with compact support in the character space of $A$. Exploiting a recent generalization of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::280919976bc5c0def563d936055e21af
Publikováno v:
Journal of Mathematical Analysis and Applications. 452:443-468
We find necessary and sufficient conditions for the existence of a probability measure on N 0 , the nonnegative integers, whose first n moments are a given n-tuple of nonnegative real numbers. The results, based on finding an optimal polynomial of de
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::648e84adfe480e66ee1e62c54de56dcb
https://doi.org/10.1016/j.jmaa.2017.02.060
https://doi.org/10.1016/j.jmaa.2017.02.060
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 on the character space $X(A)$ of $A$ equip
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::54dee0a29c47406980963b9a6f2a33e6
http://arxiv.org/abs/1906.01691
http://arxiv.org/abs/1906.01691
Autor:
Maria Infusino, Tobias Kuna
The aim of this paper is to study the full $K-$moment problem for measures supported on some particular non-linear subsets $K$ of an infinite dimensional vector space. We focus on the case of random measures, that is $K$ is a subset of all non-negati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::80da988bd972c04c5bf639b3c6e8a5ca
Publikováno v:
Operator Theory in Different Settings and Related Applications ISBN: 9783319625263
This note aims to show a uniqueness property for the solution (whenever exists) to the moment problem for the symmetric algebra S(V ) of a locally convex space (V, T).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::75a4ef5aa358a2b0eab62e2b59568679
https://doi.org/10.1007/978-3-319-62527-0_7
https://doi.org/10.1007/978-3-319-62527-0_7
Publikováno v:
Operator Theory: Advances and Applications ISBN: 9783319625263
This note aims to show a uniqueness property for the solution (whenever exists) to the moment problem for the symmetric algebra $S(V)$ of a locally convex space $(V, \tau)$. Let $\mu$ be a measure representing a linear functional $L: S(V)\to\mathbb{R
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f24b81234161a684c4c0db93cf901915
https://doi.org/10.1007/978-3-319-62527-0
https://doi.org/10.1007/978-3-319-62527-0
Translation invariant realizability problem on the $d$-dimensional lattice: an explicit construction
Publikováno v:
Electron. Commun. Probab.
We consider a particular instance of the truncated realizability problem on the $d-$dimensional lattice. Namely, given two functions $\rho_1({\bf i})$ and $\rho_2({\bf i},{\bf j})$ non-negative and symmetric on $\mathbb{Z}^d$, we ask whether they are
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e35eb59ee82a3e596aa12eab4d795ea6
https://doi.org/10.1214/16-ecp4620
https://doi.org/10.1214/16-ecp4620
Autor:
Maria Infusino
Publikováno v:
Trends in Mathematics ISBN: 9783319072449
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-dimensional spaces. In particular, the quasi-analytic criterion of self-adjoi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0d069fc9fd71452cb5bf813721626495
https://doi.org/10.1007/978-3-319-07245-6_9
https://doi.org/10.1007/978-3-319-07245-6_9
It is explained how a locally convex (lc) topology $\tau$ on a real vector space $V$ extends to a locally multiplicatively convex (lmc) topology $\overline{\tau}$ on the symmetric algebra $S(V)$. This allows the application of the results on lmc topo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4e301d7f359f8bf3d0eda7a53606e946
We consider a generic basic semi-algebraic subset $\mathcal{S}$ of the space of generalized functions, that is a set given by (not necessarily countably many) polynomial constraints. We derive necessary and sufficient conditions for an infinite seque
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bd94b0815e8201bc406bd4ccc39e25ab
http://hdl.handle.net/11697/175982
http://hdl.handle.net/11697/175982