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 |
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Pages (from-to) | 621-625 |
Journal | Proceedings of the American Mathematical Society |
Volume | 97 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1 Jan 1986 |