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19 April 2024 |
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On the moment problem of closed semi-algebraic sets | Konrad Schmuedgen
; | Date: |
20 Mar 2002 | Subject: | Functional Analysis MSC-class: 44A60, 14P10, 14P05 | math.FA | Abstract: | 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 $K_fcap C_lambda$, where $C_lambda={x:h_1(x)=lambda_1,{...},h_n(x)=lambda_n}$ and $inf{h_j(x); xin K_f}lelambda_jlesup{h_j(x);xin K_f}$. 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 | Source: | arXiv, math.FA/0203207 | Services: | Forum | Review | PDF | Favorites |
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