Whitney's problem on extendability of functions and an intrinsic metric
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Publication:5906880
DOI10.1006/aima.1997.1685zbMath0931.46021OpenAlexW2082658753MaRDI QIDQ5906880
Publication date: 4 March 1998
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/aima.1997.1685
Topological linear spaces of continuous, differentiable or analytic functions (46E10) Continuous and differentiable maps in nonlinear functional analysis (46T20)
Related Items (24)
Locally \(C^{1,1}\) convex extensions of \(1\)-jets ⋮ Finiteness principles for smooth selection ⋮ Explicit formulas for 𝐶^{1,1} Glaeser-Whitney extensions of 1-Taylor fields in Hilbert spaces ⋮ The \(C^m\) norm of a function with prescribed jets. I. ⋮ On planar Sobolev \(L_p^m\)-extension domains ⋮ \(C^2\) interpolation with range restriction ⋮ Continuously differentiable functions on compact sets ⋮ Sobolev \(L_p^2\)-functions on closed subsets of \(\mathbb R^2\) ⋮ Reconstruction and interpolation of manifolds. I: The geometric Whitney problem ⋮ The Whitney extension problem and Lipschitz selections of set-valued mappings in jet-spaces ⋮ \(C^1\) extensions of functions and stabilization of Glaeser refinements ⋮ Sobolev embeddings, extensions and measure density condition ⋮ Whitney-type extension theorems for jets generated by Sobolev functions ⋮ On Sobolev extension domains in \(\mathbb R^n\) ⋮ An example related to Whitney extension with almost minimal \(C^m\) norm ⋮ Whitney’s extension problems and interpolation of data ⋮ \(C^{1, \omega }\) extension formulas for $1$-jets on Hilbert spaces ⋮ Efficient algorithms for approximate smooth selection ⋮ Extension of \(C^{m, \omega}\)-smooth functions by linear operators ⋮ Fitting a \(C^m\)-smooth function to data. II ⋮ The \(C^m\) norm of a function with prescribed jets. II ⋮ Whitney's extension problem in o-minimal structures ⋮ Extension of smooth functions from finitely connected planar domains ⋮ Sobolev inequalities in arbitrary domains
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- Whitney's extension theorem for nonquasianalytic classes of ultradifferentiable functions
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