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Stability in the shephard problem for L p -projection of convex bodies
Authors:Xinhong Li  Tongyi Ma
Institution:1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou, 730070, Gansu, China
2. College of Mathematics and Statistics, Hexi University, Zhangye, 734000, Gansu, China
Abstract:In this article, we study the convex bodies associated with L p -projections in the Brunn-Minkowski-Firey theory, and apply the Fourier analytic methods to prove the linear stability in the Shephard problem for L p -projections of convex bodies.
Keywords:stability  convex bodies  Lp-projections  Fourier transform
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