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Cyclicity of non vanishing functions in the polydisc and in the ball

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorAMAR, Eric
hal.structure.identifierInstitut de Mathématiques de Toulouse UMR5219 [IMT]
dc.contributor.authorTHOMAS, Pascal J.
dc.date.accessioned2024-04-04T03:03:02Z
dc.date.available2024-04-04T03:03:02Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193039
dc.description.abstractEnWe use a special version of the Corona Theorem in several variables, valid when all but one of the data functions are smooth, to generalize to the polydisc and to the ball results obtained by El Fallah, Kellay and Seip about cyclicity of non vanishing bounded holomorphic functions in large enough Banach spaces of analytic functions determined either by weighted sums of powers of Taylor coefficients or by radially weighted integrals of powers of the modulus of the function.
dc.language.isoen
dc.title.enCyclicity of non vanishing functions in the polydisc and in the ball
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Variables complexes [math.CV]
dc.identifier.arxiv1702.00729
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-01959443
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01959443v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=AMAR,%20Eric&THOMAS,%20Pascal%20J.&rft.genre=preprint


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