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The paper concerns a biunique correspondence between some positively homogeneous functions on ℝn and some star-shaped sets with nonempty interior, symmetric with respect to the origin (Theorems 3.5 and 4.3).

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,E) Studia Math. 82 33 38 GULICK, D. and SCHMETS, J., Separability and semi-norm separability for spaces of

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Duchon J. Splines minimizing rotation-invariant semi-norms in Sobolev spaces, in Constructive Theory of Functions of Several Variables , W. Schempp and K. Zeller, (Eds.) Springer, 1977, pp. 85–100. Duchon J

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