Approximation Holomorphe Globale Sur L'union de Deux Sous-Espaces Totalement Réels Maximaux de Cn
Canadian mathematical bulletin, Tome 34 (1991) no. 2, pp. 215-219

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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.
DOI : 10.4153/CMB-1991-034-4
Mots-clés : 32E30.
Frih, El Mostapha. Approximation Holomorphe Globale Sur L'union de Deux Sous-Espaces Totalement Réels Maximaux de Cn. Canadian mathematical bulletin, Tome 34 (1991) no. 2, pp. 215-219. doi: 10.4153/CMB-1991-034-4
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[1] 1. Gamelin, T. W., Uniform algebras, Prentice-Hall Inc., 1969. Google Scholar

[2] 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] 3. Rossi, H., Holomorphically convex sets in several complex variables, Ann. of Math. 74 (1961), 470–493. Google Scholar

[4] 4. Scheinberg, S., Uniform approximation by entire functions, J. Anal. Mathématiques 24 (1976), 16–18. Google Scholar

[5] 5. Sibony, N., Hakim, M., Boundary properties of holomorphic functions in the ball in Cn. Math. Ann. 276 (1988), 549–555. Google Scholar

[6] 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

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