Linear independence of coherent systems associated to lattices

05.05.2023 09:45 - 11:15

Ulrik Enstad (University of Oslo)

The HRT conjecture states that any finite set of time-frequency shifts of a nonzero, square-integrable function is linearly independent. While the conjecture is still open, it was settled by Linnell in the case where the time-frequency shifts belong to a discrete subgroup of R^d. In this talk I will present an elementary proof of Linnell's theorem which also extends to other settings, in particular to any coherent system arising from a projective discrete series of a simply connected, nilpotent Lie group.

The talk is based on recent joint work with Jordy Timo van Velthoven.



K. Gröchenig, L. Liehr, J. L. Romero and I. Shafkulovska
SR11 (second floor)