The Fourier-Wigner transform of an operator is the analog of the Fourier transform of functions. We describe the Fourier-Wigner restriction for Schatten class operators and shall show that in a certain sense this is equivalent to the Fourier restriction problem for functions.There is an interesting interplay between the function and the operator Fourier problem. For example, the extension operator for the Fourier-Wigner restriction problem is related to compactness and Schatten class results for the Weyl quantization. There is also a connection with the Tauberian theorem for operators and Rajchman measures.
This is joint work with Helge J. Samuelsen (NTNU Trondheim).
https://univienna.zoom.us/j/64895816787?pwd=L0tHVnBPUkJFQVVSR3Y2QnhVRXRGZz09