Displaying similar documents to “Classes de Gevrey non isotropes et application à l'interpolation”

Extension Gevrey et rigidité dans un secteur

Vincent Thilliez (1995)

Studia Mathematica

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We study a rigidity property, at the vertex of some plane sector, for Gevrey classes of holomorphic functions in the sector. For this purpose, we prove a linear continuous version of Borel-Ritt's theorem with Gevrey conditions

Classes de Nevanlinna sur une intersection d'ouverts strictement pseudoconvexes.

Chantal Menini (1995)

Publicacions Matemàtiques

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On a finite intersection of strictly pseudoconvex domains we define two kinds of natural Nevanlinna classes in order to take the growth of the functions near the sides or the edges into account. We give a sufficient Blaschke type condition on an analytic set for being the zero set of a function in a given Nevanlinna class. On the other hand we show that the usual Blaschke condition is not necessary here.

Systèmes kowalewskiens

Sigeru Mizohata (1957)

Annales de l'institut Fourier

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On envisage des conditions pour qu’un système kowalewskien soit hyperbolique, en se bornant aux cas où les coefficients sont analytiques en x (coordonnées spatiales).

Approximation par des fonctions holomorphes à croissance contrôlée.

Philippe Charpentier, Yves Dupain, Modi Mounkaila (1994)

Publicacions Matemàtiques

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Let Ω be a bounded pseudo-convex domain in C with a C boundary, and let S be the set of strictly pseudo-convex points of ∂Ω. In this paper, we study the asymptotic behaviour of holomorphic functions along normals arising from points of S. We extend results obtained by M. Ortel and W. Schneider in the unit disc and those of A. Iordan and Y. Dupain in the unit ball of C. We establish the existence of holomorphic functions of given growth having a "prescribed behaviour" in almost all normals...