An uncertainty principle due to Ingham provides the best possible decay of the Fourier transform of a compactly supported function on the real line. In this talk, we intend to explore an analogue of this result by investigating the optimal operator-valued decay of the group Fourier transform of compactly supported functions on the Heisenberg group.
Part of the Spring School
'Modern Aspects of Analysis on Lie Groups'
https://jaeh.cc/SS2024/index.htm