Geodesic
Superresolution Rates in Prokhorov Metric
Canadian journal of mathematics, Tome 48 (1996) no. 2, pp. 316-329

Voir la notice de l'article provenant de la source Cambridge University Press

Consider the problem of recovering a probability measure supported by a compact subset U of Rm when the available measurements concern only some of its Ф-moments (Ф being an Rk valued continuous function on U). When the true Ф-moment c lies on the boundary of the convex hull of Ф(U), generalizing the results of [10], we construct a small set Rα,δ(∊) such that any probability measure μ satisfying is almost concentrated on Rα,δ(∊) . When Ф is a pointwise T-system (extension of T-systems), the study of the set Rα,δ(∊) leads to the evaluation of the Prokhorov radius of the set .
DOI : 10.4153/CJM-1996-017-9
Mots-clés : 52A40, 43A07, 62A99, Generalized moments, superresolution, T-systems, Prokhorov metric 
Doukhan, P.; Gamboa, F. Superresolution Rates in Prokhorov Metric. Canadian journal of mathematics, Tome 48 (1996) no. 2, pp. 316-329. doi: 10.4153/CJM-1996-017-9
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