Fitting a Sobolev function to data III

Author(s): Fefferman, Charles L.; Israel, Arie; Luli, Garving K

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DC Field	Value	Language
dc.contributor.author	Fefferman, Charles L.	-
dc.contributor.author	Israel, Arie	-
dc.contributor.author	Luli, Garving K	-
dc.date.accessioned	2019-12-10T18:25:36Z	-
dc.date.available	2019-12-10T18:25:36Z	-
dc.date.issued	2016	en_US
dc.identifier.citation	Fefferman, Charles, Israel, Arie, Luli, Garving K. (2016). Fitting a Sobolev function to data III. REVISTA MATEMATICA IBEROAMERICANA, 32 (1039 - 1126. doi:10.4171/RMI/908	en_US
dc.identifier.issn	0213-2230	-
dc.identifier.uri	http://arks.princeton.edu/ark:/88435/pr1rx7f	-
dc.description.abstract	In this paper and two companion papers, we produce efficient algorithms to solve the following interpolation problem: Let m >= 1 and p > n >= 1. Given a finite set E subset of R-n and a function f : E -> R, compute an extension F of f belonging to the Sobolev space W-m,W-p (R-n) with norm having the smallest possible order of magnitude; secondly, compute the order of magnitude of the norm of F. The combined running time of our algorithms is at most CN log N, where N denotes the cardinality of E, and C depends only on m, n, and p.	en_US
dc.format.extent	1039 - 1126	en_US
dc.language.iso	en_US	en_US
dc.relation.ispartof	REVISTA MATEMATICA IBEROAMERICANA	en_US
dc.rights	Author's manuscript	en_US
dc.title	Fitting a Sobolev function to data III	en_US
dc.type	Journal Article	en_US
dc.identifier.doi	doi:10.4171/RMI/908	-
dc.date.eissued	2016-10-03	en_US
pu.type.symplectic	http://www.symplectic.co.uk/publications/atom-terms/1.0/journal-article	en_US

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