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ON THE DETERMINATION OF STAR BODIES FROM THEIR HALF-SECTIONS

Part of: Integral transforms, operational calculus

Published online by Cambridge University Press:  13 March 2017

B. Rubin
B. Rubin*
Affiliation:
Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803, U.S.A. email [email protected]
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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 the determination of star bodies from the volumes of their central half-sections.

MSC classification

Primary: 44A12: Radon transform
Secondary: 44A15: Special transforms (Legendre, Hilbert, etc.)
Type
Research Article
Information
Mathematika , Volume 63 , Issue 2 , 2017 , pp. 462 - 468
Copyright
Copyright © University College London 2017 

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