A Large Sieve Principle for the Operator STFT with Applications to Cohen's Class

Explore a quantum harmonic analysis talk that presents a quantum analogue of the short-time Fourier transform (STFT) large sieve principle. Learn how this mathematical principle, originally from analytic number theory, has been extended to work with both functions and operators. Discover the applications of this principle to Cohen's class distributions and operator recovery. The presentation covers how the large sieve principle serves as a valuable tool for studying sparsely concentrated signals, utilizing various techniques from quantum harmonic analysis. This 27-minute lecture was delivered by Erling Svela at the Workshop on "Quantum Harmonic Analysis" at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI) in May 2025, and represents joint work with Daniel Abreu and Michael Speckbacher.