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Let Ω be a bounded pseudoconvex domain in with boundary and let X be a complete intersection submanifold of Ω, defined by holomorphic functions (1 ≤ p ≤ n-1) smooth up to ∂Ω. We give sufficient conditions ensuring that a function f holomorphic in X (resp. in Ω, vanishing on X), and smooth up to the boundary, extends to a function g holomorphic in Ω and belonging to a given strongly non-quasianalytic Carleman class in (resp. satisfies with holomorphic in Ω and -regular in ). The essential...
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