On Cmrational approximation

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    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 languageEnglish
    Pages (from-to)621-625
    JournalProceedings of the American Mathematical Society
    Volume97
    Issue number4
    DOIs
    Publication statusPublished - 1 Jan 1986

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