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- W2327169431 abstract "We study the approximation of holomorphic functions in an open subset of C n , satisfying growth conditions, by holomorphic functions defined in a given larger domain and satisfying given stronger growth conditions. We start from weight functions δ,δ ′ on C n such that δ ′ ≥δ and associate algebras 𝒪(δ),𝒪(δ ′ ), such that 𝒪(δ ′ )⊂𝒪(δ). We prove an approximation theorem when the weight function δ of small domain is convex with respect to functions in the large domain, by using the symbolic calculus of L. Waelbroeck and the estimates for the ∂ ¯-operator of L. Hörmander. We also prove a factorization theorem in 𝒪(δ ′ ) with the structure defined by 𝒪(δ)." @default.
- W2327169431 created "2016-06-24" @default.
- W2327169431 creator A5004021590 @default.
- W2327169431 date "1972-01-01" @default.
- W2327169431 modified "2023-09-26" @default.
- W2327169431 title "Approximation avec croissance des fonctions holomorphes de plusieurs variables" @default.
- W2327169431 doi "https://doi.org/10.5802/aif.402" @default.
- W2327169431 hasPublicationYear "1972" @default.
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