1 citations · 1 across the 6 of their papers we have counts for
6 papers
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…
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…
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…
Decoupling for Schatten class operators in the setting of Quantum Harmonic Analysis
Helge Jørgen Samuelsen
We introduce the notion of decoupling for operators, and prove an equivalence between classical decoupling for functions and decoupling for operat…
Fourier restriction for Schatten class operators and functions on phase space
Franz Luef, Helge Jørgen Samuelsen
We formulate a variant of Fourier restriction for operators in Schatten classes, where the Fourier-Wigner transform of a bounded operator replaces the Fourier transform of a functi…
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…