Systems of germs and theorems of zeros in infinite-dimensional spaces

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dc.creatorMozyrska, Dorota
dc.creatorBartosiewicz, Zbigniew
dc.date2006-12-13
dc.date.accessioned2026-07-07T06:43:13Z
dc.date.available2026-07-07T06:43:13Z
dc.descriptionSystems of germs of sets in infinite-dimensional spaces are introduced and studied. Such a system corresponds to a local zero-set of an ideal of the ring of analytic functions of infinite number of variables. Conversely, this system of germs defines the ideal of germs of analytic functions vanishing on it. A theorem of zeros is proved, stating that this ideal is the radical (in the complex case) or real radical (in the real case) of the initial ideal.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0612355
dc.identifierhttp://arxiv.org/abs/math/0612355
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102329
dc.subjectComplex Variables
dc.subjectGeneral Mathematics
dc.subject32B10, 32B05, 14P15, 32C07
dc.titleSystems of germs and theorems of zeros in infinite-dimensional spaces
dc.typetext

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