We prove a new family of L^p uncertainty inequalities on fairly general groups and homogeneous spaces, both in the smooth and in the discrete setting. The novelty of our technique consists in the observation that the L^1 endpoint can be proved by means of appropriate isoperimetric inequalities.
Uncertainty Inequalities on Groups and Homogeneous Spaces via Isoperimetric Inequalities
TREVISAN, DARIO
2014-01-01
Abstract
We prove a new family of L^p uncertainty inequalities on fairly general groups and homogeneous spaces, both in the smooth and in the discrete setting. The novelty of our technique consists in the observation that the L^1 endpoint can be proved by means of appropriate isoperimetric inequalities.File in questo prodotto:
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