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An extension of Whitney approximation theorem

Andradas Heranz, Carlos and Aneiros , Eva and Díaz-Cano Ocaña, Antonio (2012) An extension of Whitney approximation theorem. In Contribuciones matemáticas en honor a Juan Tarrés. UCM, Madrid, pp. 17-25. ISBN 978-84-695-4421-1

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Abstract

The classical Whitney approximation theorem states that a smooth function function f: Rn - R can be approximated by analytic functions. We prove that these analytic functions approximating f can be taken aas real holomorphic functions on the whole space Cn.

Item Type:Book Section
Uncontrolled Keywords:Whitney approximation theorem; Approximation by analytic functions
Subjects:Sciences > Mathematics > Geometry
Sciences > Mathematics > Topology
ID Code:17339
Deposited On:05 Dec 2012 11:49
Last Modified:11 Nov 2013 14:25

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