Uncertainty inequalities on groups and homogeneous spaces via isoperimetric inequalities

Abstract

We prove a family of $L^p$ uncertainty inequalities on fairly general groups and homogeneous spaces, both in the smooth and in the discrete setting. The crucial point is the proof of the $L^1$ endpoint, which is derived from a general weak isoperimetric inequality.

17 pages

References in corpus (2)

• Weak uncertainty principle for fractals, graphs and metric measure spaces
• Generalized uncertainty inequalities