No CrossRef data available.
Article contents
Approximation Holomorphe Globale Sur L'union de Deux Sous-Espaces Totalement Réels Maximaux de Cn
Published online by Cambridge University Press: 20 November 2018
Abstract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Let E and F be real subspaces of Cn which contain no non trivial complex subspace of Cn and intersecting only at the origin. We prove in a special case that every continuous function on E ∪ F can be asymptotically approximated on E ∪ F by an entire function.
Keywords
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1991
References
2.
Mergelyan, S. N., On the representation of functions by series of polynomials on closed sets (Russe), Dokl. Akad. Nauk SSSR NS 78 (1951), 405–408. Amer. Math. Soc. Transi. 85 Providence 1953.Google Scholar
3.
Rossi, H., Holomorphically convex sets in several complex variables, Ann. of Math. 74 (1961), 470–493.Google Scholar
4.
Scheinberg, S., Uniform approximation by entire functions, J. Anal. Mathématiques 24 (1976), 16–18.Google Scholar
5.
Sibony, N., Hakim, M., Boundary properties of holomorphic functions in the ball in Cn. Math. Ann. 276 (1988), 549–555.Google Scholar
6.
Weinstock, B. M., On the polynomial convexity of the union of two maximal totally maximal real subspaces
ofC” Math. Ann. 282 (1988) 131–138.Google Scholar
You have
Access