Bulletin de la Société Royale des Sciences de Liège Bulletin de la Société Royale des Sciences de Liège -  Volume 78 - Année 2009 

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.

Para citar este artículo

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.