Whitney's extension problems and interpolation of data

Charles Fefferman

doi:10.1090/S0273-0979-08-01240-8

Whitney's extension problems and interpolation of data

Charles Fefferman

Mathematics

Research output: Contribution to journal › Article › peer-review

60 Scopus citations

Abstract

Given a function f : E R{double-struck} with E ⊂ R{double-struck}ⁿ, we explain how to decide whether f extends to a C^m function F on R{double-struck}ⁿ.IfE is finite, then one can efficiently compute an F as above, whose C^m norm has the least possible order of magnitude (joint work with B. Klartag).

Original language	English (US)
Pages (from-to)	207-220
Number of pages	14
Journal	Bulletin of the American Mathematical Society
Volume	46
Issue number	2
DOIs	https://doi.org/10.1090/S0273-0979-08-01240-8
State	Published - Apr 2009

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/S0273-0979-08-01240-8

Cite this

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AB - Given a function f : E R{double-struck} with E ⊂ R{double-struck}n, we explain how to decide whether f extends to a Cm function F on R{double-struck}n.IfE is finite, then one can efficiently compute an F as above, whose Cm norm has the least possible order of magnitude (joint work with B. Klartag).

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ER -

Whitney's extension problems and interpolation of data

Abstract

All Science Journal Classification (ASJC) codes

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