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Asymptotic algebras and applications

Abstract : 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
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https://hal.univ-antilles.fr/hal-01529549
Contributor : Antoine Delcroix <>
Submitted on : Wednesday, May 31, 2017 - 4:02:24 AM
Last modification on : Wednesday, July 18, 2018 - 8:11:28 PM

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  • HAL Id : hal-01529549, version 1

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Antoine Delcroix, Dimitri Scarpalezos. Asymptotic algebras and applications. Monatshefte für Mathematik, Springer Verlag, 2000, 129, pp.1-14. ⟨hal-01529549⟩

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