The Beurling-Roumieu space D(M X M’)(Omega X Omega')
Jean SCHMETS,
Institut de Mathématique, Université de Liège, Sart Tilman Bât. B 37, B-4000 Liège, Belgium, j.schmets@ulg.ac.be
Manuel VALDIVIA,
Facultad de Matemáticas, Universidad de Valencia, Dr. Moliner 50, 1 E-46100 Bursajot (Valencia), Spain
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.
Pour citer cet 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 : https://popups.uliege.be/0037-9565/index.php?id=1584.