Santalo region of a log-concave function

Mathematics – Functional Analysis

Scientific paper

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Scientific paper

In this paper we define the Santalo region and the Floating body of a
log-concave function. We then study their properties. Our main result is that
any relation of Floating body and Santalo region of a convex body is translated
to a relation of Floating body and Santalo region of an even log-concave
function

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