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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.FA2025
Fourier-Wigner multipliers and the Bochner-Riesz conjecture for Schatten class operators
Helge Jørgen Samuelsen
In this paper we introduce the notion of Fourier-Wigner multipliers for the Schatten class operators , which acts as an extension of classical localisation operators…
math.FA2025
A remark on the Weyl quantisation of Paley-Wiener functions
Helge J. Samuelsen
We present a short proof of the fact that the Weyl quantisation of a tempered distribution with compactly supported Fourier transform is in the Schatten -class if and only if th…