Heisenberg-Modulation Spaces at the Crossroads of Coorbit Theory and Decomposition Space Theory

Véronique Fischer, David Rottensteiner, Michael Ruzhansky

We show that generalised time-frequency shifts on the Heisenberg group ${\mathbf{H}}_n\cong {\mathbb{R}}^{2n+1}$, realised as a unitary irreducible representation of a nilpotent Lie g…