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arXiv · 1308.1069

Uncertainty inequalities on groups and homogeneous spaces via isoperimetric inequalities

Gian Maria Dall'Ara·Dario Trevisan
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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.

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Gian Maria Dall'Ara, Dario Trevisan. 2013-08-05. Uncertainty inequalities on groups and homogeneous spaces via isoperimetric inequalities. https://arxiv.org/abs/1308.1069

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