Topological tensor products and asymptotic developments
type: Item
instance of: scholarly article
title: Topological tensor products and asymptotic developments
zbMATH Open document ID: 0980.46015
author: Jorge Mozo-Fernández
published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
publication date: 2000-08-14T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/73488
review text: The author shows that the space of holomorphic functions of several variables which have an asymptotic development in the classical sense of Poincaré and in the sense of Gevrey are nuclear spaces, and that they coincide with the complete tensor product of copies of the corresponding space in the one variable case. The space of multisummable series in one variable is also nuclear, thus allowing the author to define these spaces for several variables.
reviewed by: José Bonet
Mathematics Subject Classification ID: 46E10
Mathematics Subject Classification ID: 46M05
Mathematics Subject Classification ID: 46A32
zbMATH DE Number: 1491225
zbMATH Keywords: space of holomorphic functions of several variables
zbMATH Keywords: asymptotic development
zbMATH Keywords: nuclear spaces
zbMATH Keywords: complete tensor product
zbMATH Keywords: space of multisummable series
MaRDI profile type: Publication
OpenAlex ID: W2313689969
cites work: From divergent power series to analytic functions. Theory and application of multisummable power series
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cites work: Produits tensoriels topologiques et espaces nucléaires
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DOI: 10.5802/AFST.933
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description: scientific article; zbMATH DE number 1491225