Wuhan University Journal of Natural Sciences

, Volume 19, Issue 4, pp 283–288 | Cite as

Stability in the shephard problem for L p -projection of convex bodies

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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.

Key words

stability convex bodies Lp-projections Fourier transform 

CLC number

O 186.5 
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Copyright information

© Wuhan University and Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.College of Mathematics and StatisticsNorthwest Normal UniversityLanzhouGansu, China
  2. 2.College of Mathematics and StatisticsHexi UniversityZhangyeGansu, China

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