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A 21-minute talk delivered at the Workshop on "Quantum Harmonic Analysis" held at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI) in May 2025. Explore the concept of Fourier-Wigner multipliers for Schatten class operators, which represents a quantum version of classical Fourier multipliers and extends classical localization operators in time-frequency analysis. Learn about established results regarding Fourier-Wigner multipliers and discover the proven equivalence between classical and quantum Fourier multipliers for compactly supported multipliers. Understand how this equivalence allows for reformulating the Bochner-Riesz conjecture in terms of Schatten class operators.
