Online-ICCHA2021

Online International Conference on
Computational Harmonic Analysis


September 13-17, 2021

"Approximating Atomic Measures from Trigonometric Moments"

Catala, Paul

We consider the problem of estimating a discrete Radon measure $\mu$ on the d-dimensional torus given moments up to some order n. We show that a weighted sum of singular vectors of the moment matrix of $\mu$ defines a polynomial that converges towards $\mu$ in the weak star sense. Furthermore, we show that the unweighted analogue defines a certificate for $\mu$, converging weakly towards the unweighted measure.
http://univie.ac.at/projektservice-mathematik/e/talks/Catala_2021-06_ICCHA-online

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