E. L. Grinberg and E. T. Quinto. Analytic continuation of convex bodies and Funk's characterization of the sphere. Preprint. GEOMETRIC TOMOGRAPHY--CORRECTIONS AND UPDATE 23  Home/Search   Document Details and Download   Summary   Related Articles

....ith section function. They show that the set of all such star bodies that are determined in this sense by their ith sections functions for all i, 1 i n Gamma 1, is nowhere dense, and also obtain some results concerning determination of convex bodies by section functions. Grinberg and Quinto [51] show that there is an 0 such that a centered ball in E 3 is not determined by the values of its section function corresponding to sections by planes whose angle with the vertical axis is less than . They also obtain conditions on a pair of centered star bodies so that they must be equal if ....

E. L. Grinberg and E. T. Quinto. Analytic continuation of convex bodies and Funk's characterization of the sphere. Preprint. GEOMETRIC TOMOGRAPHY--CORRECTIONS AND UPDATE 23

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