Whitney’s extension problems and interpolation of data
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- Bull. Amer. Math. Soc. 46 (2009), 207-220 Request permission
Abstract:
Given a function $f: E \rightarrow {\mathbb {R}}$ with $E \subset {\mathbb {R}}^n$, we explain how to decide whether $f$ extends to a $C^m$ function $F$ on ${\mathbb {R}}^n$. If $E$ 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).References
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Additional Information
- Charles Fefferman
- Affiliation: Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton, New Jersey 08544
- MR Author ID: 65640
- Email: cf@math.princeton.edu
- Received by editor(s): September 2, 2008
- Published electronically: November 24, 2008
- Additional Notes: The author was supported by grants DMS-0601025 and ONR-N00014-08-1-0678.
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Bull. Amer. Math. Soc. 46 (2009), 207-220
- MSC (2000): Primary 49K24, 52A35
- DOI: https://doi.org/10.1090/S0273-0979-08-01240-8
- MathSciNet review: 2476412