J4 ›› 2012, Vol. 47 ›› Issue (10): 21-30.

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The generalized Shephard problem for Lp-mixed projection bodies and Minkowski-Funk transforms

MA Tong-yi1,2, LIU Chun-yan2   

  1. 1. College of Mathematics and Statistics, Hexi University, Zhangye 734000, Gansu, China;
    2. College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Received:2011-05-21 Online:2012-11-20 Published:2012-10-26

Abstract:

convex body; Lp-mixed projection body; λ-intersection bodies; Lp-mixed curvature function; isometrically embedded in Lp; Minkowski-Funk transforms

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