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math.CA2025
Compactness of Fourier concentration operators
Helge Jørgen Samuelsen
We present a sufficient condition on sets and in to ensure compactness of Fourier concentration operators by introducing the notion of sets which are very th…
math.CA2023
Uniform Fourier Restriction Estimate for Simple Curves of Bounded Frequency
Jaume de Dios Pont, Helge Jørgen Samuelsen
In this paper we prove a uniform Fourier restriction estimate over the class of simple curves where the last coordinate function can be extended to a holomorphic function of bounde…