The paper concerns the determination of convex bodies by values of $+\infty$-, $-\infty$- and $i$-chord functions. We prove that any at least two-dimensional convex body is not determined by values of $-\infty$-chord functions at any two internal points. We also present some positive results on the determination of convex bodies using $-\infty$- or $+\infty$- chord function at one point and $i$-chord function at another one.

Some results about $+infty$-, $-infty$- and $i$-chord functions.

SORANZO, Alessandro;
2006-01-01

Abstract

The paper concerns the determination of convex bodies by values of $+\infty$-, $-\infty$- and $i$-chord functions. We prove that any at least two-dimensional convex body is not determined by values of $-\infty$-chord functions at any two internal points. We also present some positive results on the determination of convex bodies using $-\infty$- or $+\infty$- chord function at one point and $i$-chord function at another one.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/1701021
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