Convexity in real analysis

Details Convexity in real analysis Convexity in real analysis

2009-08-31

arxiv.org/abs/0908.4437v1

Mathematics

Classical Analysis and ODEs

Scientific paper

We treat the classical notion of convexity in the context of hard real analysis. Definitions of the concept are given in terms of defining functions and quadratic forms, and characterizations are provided of different concrete notions of convexity. This analytic notion of convexity is related to more classical geometric ideas. Applications are given both to analysis and geometry.

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