On the moment problem of closed semi-algebraic sets
| dc.creator | Schmuedgen, Konrad | |
| dc.date | 2002-03-20 | |
| dc.date | 2002-10-30 | |
| dc.date.accessioned | 2026-07-07T04:47:11Z | |
| dc.date.available | 2026-07-07T04:47:11Z | |
| dc.description | Let $K_f$ be a closed semi-algebraic set in $\dR^d$ such that there exist bounded real polynomials $h_1,{...},h_n$ on $K_f$. It is proved that the moment problem for $K_f$ is solvable provided it is for all sets $K_f\cap C_λ$, where $C_λ=\{x:h_1(x)=λ_1,{...},h_n(x)=λ_n\}$ and $\inf\{h_j(x); x\in K_f\}\leλ_j\le\sup\{h_j(x);x\in K_f\}$. New classes of non-compact closed semi-algebraic sets $K_f$ are found for which the moment problem is solvable. To appear in Journal fuer die Reine und Angewandte Mathematik | |
| dc.description | LaTeX2e, 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0203207 | |
| dc.identifier | http://arxiv.org/abs/math/0203207 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63613 | |
| dc.subject | Functional Analysis | |
| dc.subject | 44A60, 14P10, 14P05 | |
| dc.title | On the moment problem of closed semi-algebraic sets | |
| dc.type | text |