An application of the fourier transform to sections of star bodies |
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| Authors: | Alexander Koldobsky |
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| Institution: | (1) Division of Mathematics and Statistics, University of Texas at San Antonio, 78249 San Antonio, TX, USA |
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| Abstract: | We express the volume of central hyperplane sections of star bodies inR
n
in terms of the Fourier transform of a power of the radial function, and apply this result to confirm the conjecture of Meyer
and Pajor on the minimal volume of central sections of the unit balls of the spacesℓ
p
n
with 0<p<2.
Research supported in part by the NSF Grant DMS-9531594. |
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| Keywords: | |
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