Éditeur(s) : HAL CCSDCambridge University Press (CUP) Résumé : International audience In a recent paper, we gave a topological description of Colombeau type algebras introducing algebras of sequences with exponential weights. Embeddings of Schwartz spaces into the Colombeau algebra G are well known, but for ultradistribution and periodic hyperfunction type spaces we give new constructions. We show that the multiplication of regular enough functions (smooth, ultradifferentiable or quasianalytic), embedded into corresponding algebras, is the ordinary multiplication. ISSN: 0305-0041
Éditeur(s) : HAL CCSDAmerican Mathematical Society Résumé : International audience A topological description of various generalized function algebras over corresponding basic locally convex algebras is given. The framework consists of algebras of sequences with appropriate ultra( pseudo)metrics defined by sequences of exponential weights. Such an algebra with embedded Dirac's delta distribution induces discrete topology on the basic space. This result is in analogy to Schwartz' impossibility result concerning multiplication of distributions. ISSN: 0002-9939
Éditeur(s) : HAL CCSDInternational Publishing Service/IPS Résumé : International audience We give a description of various algebras of generalized functions based on the introduction of pseudo-ultranorms on spaces of sequences in given locally convex function algebras. We study sheaf properties of these algebras, needed for microlocal analysis, and also consider regularity theory, functoriality and different concepts of association and weak equality in a unified setting. Using this approach, we also give new results on embeddings of ultradistribution and hyperfunction spaces into corresponding algebras of generalized functions. ISSN: 0012-3862
Éditeur(s) : HAL CCSD Résumé : International audience Starting from a description of various generalized function algebras based on sequence spaces, we develop the general framework for considering linear problems with singular coefficients or non linear problems. Therefore, we prove functorial properties of those algebras and show how weak equalities, in the sense of various associations, can be described in this setting. International Journal of Mathematics and Mathematical Sciencess
Livres anciens
Images
Fonds Jean Bernabé
Fonds René Maran
Esclaves de Guyane
Esclavage en Martinique
Catalogue collectif des périodiques
Audio-Vidéo
Études et recherches
Etudes Caribéennes
Tramil
Or
Esclavage et résistances