Heisenberg's uncertainty principle in the sense of Beurling

Abstract

We shed new light on Heisenberg's uncertainty principle in the sense of Beurling, by offering an essentially different proof which permits us to weaken the assumptions substantially, and examples show that the result is sharp. The proof involves Fourier and Mellin transforms. We alo extend to a setting of two functions. A higher-dimensional analogue is considered as well.

arXiv comment7 pages

Cited by in corpus (2)

• Dynamical versions of Hardy's uncertainty principle: A survey
• On Beurling's uncertainty principle