Whitney’s extension problems and interpolation of data

By Charles Fefferman. 2008

114 citations recorded by the source corpus.

Given a function f : E → R with E ⊂ Rn, we explain how to decide whether f extends to a Cm function F on Rn. If E 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).

Subfields: Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/15f25f66a0833a50937f548df163744a3fd0795d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Tao Mei
2. Marius Junge
3. Javier Parcet

In Mathematical Physics

1. Javier Parcet
2. Tao Mei
3. Marius Junge
4. Quanhua Xu
5. Narcisse Randrianantoanina
6. Sjoerd Dirksen
7. A. Gonz'alez-P'erez
8. Gilles Pisier

Citations in the corpus

• Smooth Fourier multipliers on group von Neumann algebras (2010, background): “In particular, this fits in Fefferman’s approach to the smooth interpolation of data carried out in [13, 14, 15] and the references therein.”