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On the Determination of Star Bodies from Their Half-Sections (1609.02205v1)
Published 7 Sep 2016 in math.FA
Abstract: We obtain explicit inversion formulas for the Radon-like transform that assigns to a function on the unit sphere the integrals of that function over hemispheres lying in lower dimensional central cross-sections. The results are applied to determination of star bodies from the volumes of their central half-sections.
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