Hedgehogs and Zonoids
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Yves Martinez-Maure
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Article
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2001
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Elsevier Science
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English
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Let R be a continuous real function on the unit sphere S n of (n+1)-dimensional Euclidean space R n+1 . We prove that the map where ( } , } ) is the standard inner product and \_ the spherical Lebesgue measure, is of class C 2 . It follows that the boundaries of zonoids (resp. generalized zonoids),