Some properties of C,E,P-algebras : Overgneration and 0-order estimates.Report as inadecuate




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1 CRREF - Centre de recherches et de ressources en éducation et formation 2 AOC - Analyse Optimisation Controle

Abstract : We give a new definition of the so-called overgenerated rings, which are the usual tool used to define the asymptotic structure of a C,E,P-algebra, written as a factor space M {A,E,P}-N {I {A},E,P}. With this new definition and in the particular case of E=C^{∞}, we show that a moderate element i.e. in M {A,E,P} is negligible if and only if it satisfies the C⁰-order estimate for the ideal N {I {A},E,P}.

Keywords : P-algebra C Properties of non linear generalized functions





Author: Antoine Delcroix -

Source: https://hal.archives-ouvertes.fr/



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