Tangible convex bodies. Appendix to ''Multivariable Wiener-Hopf operators. I'' (Q1819731)

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scientific article; zbMATH DE number 3994422
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Tangible convex bodies. Appendix to ''Multivariable Wiener-Hopf operators. I''
scientific article; zbMATH DE number 3994422

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    Tangible convex bodies. Appendix to ''Multivariable Wiener-Hopf operators. I'' (English)
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    1986
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    A convex closed set in \({\mathbb{R}}^ n\) is said to be tangible if locally it can be strictly differentiably stretched onto each its supporting affine cone. A tangible set is completely tangible if all its conormal cones are tangible and the conormal cones of those conormal cones are conormal cones of the original sets again. The complete tangibility is checked for all convex smooth polyhedra and for all convex closed sets which have a finite orbit decomposition under an affine group action. [For the paper, mentioned in the title, see the second author, Integral Equations Oper. Theory 9, 537-556 (1986; Zbl 0607.47021)].
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    homogeneous convex sets
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    completely tangible
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    conormal cones
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    convex smooth polyhedra
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