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hal.structure.identifierUniversité de Bordeaux [UB]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorESTERLE, Jean
dc.date.accessioned2024-04-04T02:45:04Z
dc.date.available2024-04-04T02:45:04Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191435
dc.description.abstractEnA Picard-Borel algebra is a commutative, unital, complex algebra A such that every family (u λ) λ∈Λ of invertible elements of A which are pairwise linearly independent is linearly independent. A Picard-Borel algebra is said to be nontrivial if u / ∈ C1 for some invertible element u ∈ A. The algebra C[X] of complex polynomials is an obvious example of trivial Picard-Borel algebra, and results from the celebrated 1897 paper "Sur les zéros des fonctions entières" by E. Borel show that the algebra H(C) of entire functions on C is a Picard-Borel algebra. The main result of the paper shows that Picard-Borel algebras which are Fréchet algebras are integral domains.
dc.language.isoen
dc.title.enPICARD-BOREL ALGEBRAS
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Analyse fonctionnelle [math.FA]
dc.subject.halSciences de l'ingénieur [physics]/Autre
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-03381646
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03381646v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=ESTERLE,%20Jean&rft.genre=preprint


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