On Cmrational approximation

Joan Verdera

doi:10.1090/S0002-9939-1986-0845976-6

On C^mrational approximation

Joan Verdera

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

12 Citations (Scopus)

Abstract

Let X ⊂ C be compact and let f be a compactly supported function in Cm(C), 0 < mϵ Z, such that df/dz vanishes on X up to order m-1. We prove that f can be approximated in Cm(C) by a sequence of functions which are holomorphic in neighborhoods of X. © 1986 American Mathematical Society.

Original language	English
Pages (from-to)	621-625
Journal	Proceedings of the American Mathematical Society
Volume	97
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9939-1986-0845976-6
Publication status	Published - 1 Jan 1986

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title = "On Cmrational approximation",

abstract = "Let X ⊂ C be compact and let f be a compactly supported function in Cm(C), 0 < mϵ Z, such that df/dz vanishes on X up to order m-1. We prove that f can be approximated in Cm(C) by a sequence of functions which are holomorphic in neighborhoods of X. {\textcopyright} 1986 American Mathematical Society.",

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year = "1986",

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AU - Verdera, Joan

PY - 1986/1/1

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N2 - Let X ⊂ C be compact and let f be a compactly supported function in Cm(C), 0 < mϵ Z, such that df/dz vanishes on X up to order m-1. We prove that f can be approximated in Cm(C) by a sequence of functions which are holomorphic in neighborhoods of X. © 1986 American Mathematical Society.

AB - Let X ⊂ C be compact and let f be a compactly supported function in Cm(C), 0 < mϵ Z, such that df/dz vanishes on X up to order m-1. We prove that f can be approximated in Cm(C) by a sequence of functions which are holomorphic in neighborhoods of X. © 1986 American Mathematical Society.

U2 - 10.1090/S0002-9939-1986-0845976-6

DO - 10.1090/S0002-9939-1986-0845976-6

M3 - Article

VL - 97

SP - 621

EP - 625

IS - 4

ER -