Sundaram Thangavelu: Quantum Hermite functions and a Fourier transform for operators
Centre International de Rencontres Mathématiques · 53:07 · Watch on YouTube
The video constructs a Fourier transform on Hilbert-Schmidt operators $S2$ that parallels the Euclidean Fourier transform, using twisted Fock spaces, a Gauss-Bargmann transform, and operator analogues of Hermite funct...