Approximate super-resolution of positive measures in all dimensions
نویسندگان
چکیده
We study the problem of reconstructing a positive discrete measure on compact set K?Rn from finite moments (possibly known only approximately) via convex optimization. give new uniqueness results, quantitative estimates for approximate recovery and sum-of-squares based hierarchy super-resolution semi-algebraic sets.
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2021
ISSN: ['1096-603X', '1063-5203']
DOI: https://doi.org/10.1016/j.acha.2020.02.001