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Gevrey interpolation in domains of finite type in \(\mathbb{C}^ 2\). (Interpolation Gevrey dans les domaines de type fini de \(\mathbb{C}^ 2\).) (French) Zbl 0790.32008

Using sharp geometric tools on the boundary of a pseudoconvex domain of finite type in \(\mathbb{C}^ 2\), the author solves interpolation problems, at infinite order, by holomorphic functions belonging to a given Gevrey class.
Reviewer: V.Thilliez (Orsay)

MSC:

32A40 Boundary behavior of holomorphic functions of several complex variables
32T99 Pseudoconvex domains
32F45 Invariant metrics and pseudodistances in several complex variables
26E10 \(C^\infty\)-functions, quasi-analytic functions
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References:

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[12] [T1] Thilliez, V.: Classes de Gevrey non isotropes et interpolation dans les domaines de type fini de \(\mathbb{C}\)2. C.R. Acad. Sci. Paris, Sér. I313, 671–674 (1991) · Zbl 0755.32007
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