Uncertainty inequalities on groups and homogeneous spaces via isoperimetric inequalities (1308.1069v2)

Published 5 Aug 2013 in math.CA, math.FA, and math.MG

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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