Projections of convex bodies and the Fourier transform (Q1885601)
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scientific article; zbMATH DE number 2114537
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Projections of convex bodies and the Fourier transform |
scientific article; zbMATH DE number 2114537 |
Statements
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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0.94533455
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0.9258004
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0.9141294
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0.91349065
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0.9072789
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0.9043509
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