On the Almost Everywhere Continuity

2014/11/13 by Joël Blot, Blot, Joël · 2 citations
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #math.FA

paper · pdf · doi:10.48550/arxiv.1411.3582

arxiv created 2014/11/13 · arxiv updated 2014/11/14

Abstract

The aim of this paper is to provide characterizations of the Lebesgue-almost everywhere continuity of a function f : [a, b] → R. These characterizations permit to obtain necessary and sufficient conditions for the Riemann integrability of f .

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• Generalizations of Ekeland-Hofer and Hofer-Zehnder symplectic capacities and applications
• Representation formula for symmetric symplectic capacity and applications

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