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Global Holomorphic Approximation on the Product of Curves in Cn

Published online by Cambridge University Press:  20 November 2018

El Mostapha Frih  and
Paul M. Gauthier
El Mostapha Frih
Affiliation:
Département de Mathématiques et de Statistique Université de Montréal
Paul M. Gauthier
Affiliation:
Département de Mathématiques et de Statistique Université de Montréal
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Abstract

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We prove that every continuous function on the product of certain curves can be asymptotically approximated by entire functions.

Keywords

32E30.
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 2 , 01 June 1991 , pp. 220 - 223
Copyright
Copyright © Canadian Mathematical Society 1991

References

1. Alexander, H., A Carleman theorem for curves in Cn , Math. Scand. 45 (1979), pp. 70–76.Google Scholar
2. Stolzenberg, G., Uniform approximation on smooth curves, Acta Math. 115 (1966), pp. 185–198.Google Scholar