Helge J. Samuelsen

collaborators

5 papers

math.CA2025

Compactness of Fourier concentration operators

Helge JÃ¸rgen Samuelsen

We present a sufficient condition on sets $E$ and $F$ in $R^{d}$ 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 JÃ¸rgen Samuelsen

In this paper we introduce the notion of Fourier-Wigner multipliers for the Schatten class operators $S^{p}$ , 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 $p$ -class if and only if th…

math.FA2024

Decoupling for Schatten class operators in the setting of Quantum Harmonic Analysis

Helge JÃ¸rgen Samuelsen

We introduce the notion of decoupling for operators, and prove an equivalence between classical $ℓ^{q} L^{p}$ decoupling for functions and $ℓ^{q} S^{p}$ decoupling for operat…

math.FA2024

Fourier restriction for Schatten class operators and functions on phase space

Franz Luef, Helge JÃ¸rgen 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…