untitled
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<identifier>oai:HAL:hal-01529549v1</identifier>
<datestamp>2017-12-21</datestamp>
<setSpec>type:ART</setSpec>
<setSpec>subject:math</setSpec>
<setSpec>collection:UNIV-AG</setSpec>
<setSpec>collection:INSMI</setSpec>
<setSpec>collection:BNRMI</setSpec>
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<metadata><dc>
<publisher>HAL CCSD</publisher>
<title lang=en>Asymptotic algebras and applications</title>
<creator>Delcroix, Antoine</creator>
<creator>Scarpalezos, Dimitri</creator>
<contributor>Centre de recherches et de ressources en éducation et formation (CRREF) ; Université des Antilles et de la Guyane (UAG)</contributor>
<description>International audience</description>
<source>ISSN: 0026-9255</source>
<source>EISSN: 1436-5081</source>
<source>Monatshefte für Mathematik</source>
<publisher>Springer Verlag</publisher>
<identifier>hal-01529549</identifier>
<identifier>https://hal.univ-antilles.fr/hal-01529549</identifier>
<source>https://hal.univ-antilles.fr/hal-01529549</source>
<source>Monatshefte für Mathematik, Springer Verlag, 2000, 129, pp.1-14. 〈https://link.springer.com/journal/605〉</source>
<source>https://link.springer.com/journal/605</source>
<language>en</language>
<subject lang=en>Sharp topology</subject>
<subject lang=en>Generalized functions</subject>
<subject lang=en> Asymptotic scales</subject>
<subject lang=en> Dirichlet problems</subject>
<subject lang=en> Singular data</subject>
<subject>[MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA]</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>Starting from a locally convex metrisable topological space and from any asymptotic scale, we construct a generalized extension of this space. To those extensions, we associate Hausdorff topologies. We introduce the notion of a temperate map, with respect to a given asymptotic scale, between two locally convex metrisable semi-normed spaces. We show that such mappings extend in a canonical way to mappings between the respective generalized extensions. We give an application to nonlinear Dirichlet boundary value problems with singular data in the framework of generalized extensions</description>
<date>2000</date>
</dc>
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