Displaying similar documents to “Sur le théorème de division de Weierstrass”

Caractérisation des anneaux noethériens de séries formelles à croissance controlée. Application à la synthèse spectrale.

Jacques Chaumat, Anne-Marie Chollet (1997)

Publicacions Matemàtiques

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Given a subring of the ring of formal power series defined by the growth of the coefficients, we prove a necessary and sufficient condition for it to be a noetherian ring. As a particular case, we show that the ring of Gevrey power series is a noetherian ring. Then, we get a spectral synthesis theorem for some classes of ultradifferentiable functions.

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.

Fonctions a support compact dans les analyses multi-résolutions.

Pierre Gilles Lemarié-Rieusset (1991)

Revista Matemática Iberoamericana

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The main topic of this paper is the study of compactly supported functions in a multi-resolution analysis and especially of the minimally supported ones. We will show that this class of functions is stable under differentiation and integration and how to compute basic quantities with them.