Heisenberg's uncertainty principle in the sense of Beurling

Details Heisenberg's uncertainty principle in the sense of Beurling Heisenberg's uncertainty principle in the sense of Beurling

2012-03-23

arxiv.org/abs/1203.5222v2

Mathematics

Functional Analysis

7 pages

Scientific paper

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.

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