The trace to closed sets of functions in \(R^ n\) with second difference of order 0(h)

DOI10.1016/0021-9045(79)90053-4zbMath0451.41022OpenAlexW2086759497MaRDI QIDQ1147932

Hans Wallin, Alf Jonsson

Publication date: 1979

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(79)90053-4

zbMATH Keywords

Whitney extension theorem

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (5)

The trace of the Zygmund class \(\Lambda _ k(R)\) to closed sets and interpolating polynomials ⋮ The trace of subsets of \(R^ n\) of Besov spaces in the general case ⋮ Interpolating and orthogonal polynomials on fractals ⋮ Sequence spaces of spline functions on subsets and \(l^{\infty}\)-spaces. ⋮ Free interpolation for the Zygmund class

Cites Work

• The trace of potentials on general sets
• Smooth functions
• A MULTIDIMENSIONAL ANALOG OF A THEOREM OF WHITNEY
• A Whitney extension theorem in \(L^p\) and Besov spaces
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