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math.NA2025
Algebraic Reconstruction of Piecewise-Smooth Functions of Two Variables from Fourier Data
Michael Levinov, Yosef Yomdin, Dmitry Batenkov
We investigate the problem of reconstructing a 2D piecewise smooth function from its bandlimited Fourier measurements. This is a well known and well studied problem with many real…
math.NA2024
On the accuracy of Prony's method for recovery of exponential sums with closely spaced exponents
Rami Katz, Nuha Diab, Dmitry Batenkov
In this paper we establish accuracy bounds of Prony's method (PM) for recovery of sparse measures from incomplete and noisy frequency measurements, or the so-called problem of supe…