Uncertainty principle for Weyl transform and Fourier–Wigner transform
Volume 174 / 2023
Colloquium Mathematicum 174 (2023), 217-227
MSC: Primary 42B10; Secondary 47B35
DOI: 10.4064/cm9131-8-2023
Published online: 27 November 2023
Abstract
We prove an uncertainty type principle for finite linear combinations of Fourier--Wigner transforms. This is equivalent to proving a finite rank theorem for the Weyl transform.