Fourier-Wigner multipliers in Quantum Harmonic Analysis

Helge Jørgen Samuelsen (NTNU, Trondheim)

May 06. 2025, 11:30 — 12:00

In this talk I will introduce the notion of Fourier-Wigner multipliers for Schatten class operators. Fourier-Wigner multipliers is a quantum version of classical Fourier multipliers, and acts as an extension of classical localisation operators in time-frequency analysis. Results about Fourier-Wigner multipliers are established, and an equivalence between classical and quantum Fourier multipliers is proved for compactly supported multipliers. This allows us to reformulate the Bochner-Riesz conjecture in terms of Schatten class operators.

Further Information
Venue:
ESI Boltzmann Lecture Hall
Associated Event:
Quantum Harmonic Analysis (Workshop)
Organizer(s):
Markus Faulhuber (U of Vienna)
Hans G. Feichtinger (U of Vienna)
Franz Luef (NTNU, Trondheim)