Superresolution Rates in Prokhorov Metric
1996; Cambridge University Press; Volume: 48; Issue: 2 Linguagem: Inglês
10.4153/cjm-1996-017-9
ISSN1496-4279
Autores Tópico(s)Spectral Theory in Mathematical Physics
ResumoAbstract Consider the problem of recovering a probability measure supported by a compact subset U of ℝ m when the available measurements concern only some of its Ф-moments (Ф being an ℝ k 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 R α,δ(∊) such that any probability measure μ satisfying is almost concentrated on R α,δ(∊) . When Ф is a pointwise T -system (extension of T -systems), the study of the set R α,δ(∊) leads to the evaluation of the Prokhorov radius of the set .
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