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Radon transformations and zonoids

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Abstract

The class of compact sets known as zonoids or Steiner's (compact) sets, i.e., compact sets that are positive linear combinations (possibly, “continuous” ones) of segments, are described in terms of the Radon transformation.

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Authors and Affiliations

  1. Mathematics Institute, Ufa Scientific Center, Russian Academy of Sciences, USSR

    A. B. Sekerin

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  1. A. B. Sekerin
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Translated fromMatematicheskie Zametki, Vol. 59, No. 2, pp. 254–260, February, 1996.

This research was partially supported by the Russian Foundation for Basic Research.

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Sekerin, A.B. Radon transformations and zonoids. Math Notes 59, 180–184 (1996). https://doi.org/10.1007/BF02310957

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  • DOI: https://doi.org/10.1007/BF02310957

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