Uncertainty inequalities on groups and homogeneous spaces via\n isoperimetric inequalities

2013/08/05 by Gian Maria Dall’Ara, Gian Maria Dall'Ara, Dall'Ara, Gian Maria +2
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #Combinatorics #FOS: Mathematics #Functional Analysis (math.FA) #Geometry #Homogeneous #Inequality #Isoperimetric dimension #Isoperimetric inequality #Mathematical analysis #Mathematics #Metric Geometry (math.MG) #Numerical methods in inverse problems #Point (geometry) #Pure mathematics #Stability and Controllability of Differential Equations #math.CA #math.FA #math.MG

paper · pdf · doi:10.48550/arxiv.1308.1069

published in arXiv (Cornell University) (Cornell University) · 17 pages

openalex publication_date 2013/08/05 · arxiv created 2014/04/14 · arxiv updated 2014/04/15 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

We prove a family of L^p uncertainty inequalities on fairly general groups\nand homogeneous spaces, both in the smooth and in the discrete setting. The\ncrucial point is the proof of the L¹ endpoint, which is derived from a\ngeneral weak isoperimetric inequality.\n

Citations

• Weak uncertainty principle for fractals, graphs and metric measure spaces

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