On Cmrational approximation

Joan Verdera

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

On C^mrational approximation

Joan Verdera

Departament de Matemàtiques

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12 Cites (Scopus)

Resum

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.

Idioma original	Anglès
Pàgines (de-a)	621-625
Revista	Proceedings of the American Mathematical Society
Volum	97
Número	4
DOIs	https://doi.org/10.1090/S0002-9939-1986-0845976-6
Estat de la publicació	Publicada - 1 de gen. 1986

Accés al document

10.1090/S0002-9939-1986-0845976-6

Altres arxius i enllaços

https://www.scopus.com/pages/publications/0007309372

Com citar-ho

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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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doi = "10.1090/S0002-9939-1986-0845976-6",

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T1 - On Cmrational approximation

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.

UR - https://www.scopus.com/pages/publications/0007309372

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

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

M3 - Article

SN - 0002-9939

VL - 97

SP - 621

EP - 625

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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