Bull. Korean Math. Soc. 2010; 47(5): 1011-1023
Printed September 1, 2010
https://doi.org/10.4134/BKMS.2010.47.5.1011
Copyright © The Korean Mathematical Society.
Lijuan Liu, Wei Wang, and Binwu He
Hunan University of Science and Technology, Hunan University of Science and Technology, Shanghai University
In this paper we define the $L_{p}$-mixed curvature function of a convex body. We develop a formula connection the support function of $L_{p}$-mixed projection body with Fourier transform of the $L_{p}$-mixed curvature function. Using this formula we solve an analog of the Shephard projection problem for $L_{p}$-mixed projection bodies.
Keywords: Fourier transform, $L_{p}$-mixed curvature function, $L_{p}$-mixed projection body
MSC numbers: 52A40, 52A20
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