• Title, Summary, Keyword: $L_p$-mixed curvature function

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FOURIER TRANSFORM AND Lp-MIXED PROJECTION BODIES

  • Liu, Lijuan;Wang, Wei;He, Binwu
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.5
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    • pp.1011-1023
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    • 2010
  • 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.