Inequalities between projection functions of convex bodies

Paul Goodey; Gaoyong Zhang

doi:10.1353/ajm.1998.0010

Inequalities between projection functions of convex bodies

Paul Goodey, Gaoyong Zhang

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We obtain injectivity results for certain integral transforms on Grassmann manifolds. These are used to solve the intermediate cases of a problem of Shephard and to give other applications to projection functions of convex bodies of revolution.

Original language	English (US)
Pages (from-to)	345-367
Number of pages	23
Journal	American Journal of Mathematics
Volume	120
Issue number	2
DOIs	https://doi.org/10.1353/ajm.1998.0010
State	Published - Apr 1998

ASJC Scopus subject areas

General Mathematics

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abstract = "We obtain injectivity results for certain integral transforms on Grassmann manifolds. These are used to solve the intermediate cases of a problem of Shephard and to give other applications to projection functions of convex bodies of revolution.",

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Inequalities between projection functions of convex bodies

Abstract

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