This article is cited in 1 paper

Radon transformations and zonoids

A. B. Sekerin

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences

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.

UDC: 519.2

Received: 23.08.1994

DOI: 10.4213/mzm1711

 English version: Mathematical Notes, 1996, 59:2, 180–184

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