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Description of translation invariant valuations on convex sets with solution of P. McMullen's conjecture

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Abstract.

The main result of this paper is the description of translation invariant continuous valuations on convex sets. In particular, it provides an affirmative solution of P. McMullen's conjecture, and in a stronger form.

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Authors and Affiliations

  1. School of Mathematical Sciences, Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, Israel, , , , , , IL

    S. Alesker

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  1. S. Alesker
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Submitted: May 2000, Revised version: June 2000, Final version: November 2000.

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Alesker, S. Description of translation invariant valuations on convex sets with solution of P. McMullen's conjecture . GAFA, Geom. funct. anal. 11, 244–272 (2001). https://doi.org/10.1007/PL00001675

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  • DOI: https://doi.org/10.1007/PL00001675

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