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Projections of convex bodies and the Fourier transform - MaRDI portal

Projections of convex bodies and the Fourier transform (Q1885601)

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scientific article; zbMATH DE number 2114537
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Projections of convex bodies and the Fourier transform
scientific article; zbMATH DE number 2114537

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    Projections of convex bodies and the Fourier transform (English)
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    11 November 2004
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    The authors extend the Fourier analytic approach to sections of convex bodies to projections of convex bodies, establish a formula expressing the volume of hyperplane projections in terms of the Fourier transform of the curvature function, and present the projections counterparts of several results for convex bodies.
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    convex body
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    Busemann-Petty problem
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    projection counterpart
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