Bulletin de la Société Royale des Sciences de Liège

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Jean SCHMETS & Manuel VALDIVIA

The Beurling-Roumieu space D(M X M’)(Omega X Omega')

(Volume 78 - Année 2009)
Article
Open Access
Mots-clés : ultradifferentiable functions, Beurling classes, Roumieu classes, tensor product, kernel theorem

Abstract

In [10], we started the study of the countable intersections of non quasi-analytic classes of ultradifferentiable functions.  In particular the Beurling and the Roumieu intersections coincide as vector spaces.  We then studied the countable Beurling-Beurling intersections in [11] and [12], up to tensor product characterizations and kernel theorems.  In this paper, we present a study of the countable Beurling-Roumieu intersections.

To cite this article

Jean SCHMETS & Manuel VALDIVIA, «The Beurling-Roumieu space D(M X M’)(Omega X Omega')», Bulletin de la Société Royale des Sciences de Liège [En ligne], Volume 78 - Année 2009, 190 - 301 URL : http://popups.ulg.be/0037-9565/index.php?id=1584.

About: Jean SCHMETS

Institut de Mathématique, Université de Liège, Sart Tilman Bât. B 37, B-4000 Liège, Belgium, j.schmets@ulg.ac.be

About: Manuel VALDIVIA

Facultad de Matemáticas, Universidad de Valencia, Dr. Moliner 50, 1 E-46100 Bursajot (Valencia), Spain