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Centrally symmetric convex bodies and Radon transforms on higher order Grassmannians

Part of: General convexity

Published online by Cambridge University Press:  26 February 2010

Paul Goodey  and
Wolfgang Weil
Paul Goodey
Affiliation:
Professor P. Goodey, Mathematics Department, University of Oklahoma, Norman, Oklahoma 73019, U.S.A.
Wolfgang Weil
Affiliation:
Professor W. Weil, Mathematisches Institut II, Universität Karlsruhe, Englerstrasse 2, 7500 Karlsruhe I, Germany.
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Extract

The purpose of this work is to investigate the relationship between Radon transforms and centrally symmetric convex bodies. Because of the injectivity properties of the Radon transform it is natural to consider transforms on the sphere separately from those on the higher order Grassmannians. Here we shall concentrate on the latter, whilst the former will be the subject of another article presently in preparation, Goodey and Weil [1991].

MSC classification

Secondary: 52A40: Inequalities and extremum problems
Type
Research Article
Information
Mathematika , Volume 38 , Issue 1 , June 1991 , pp. 117 - 133
Copyright
Copyright © University College London 1991

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