Quantum normal families: normal families of holomorphic functions and mappings on a Banach space

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dc.creatorKim, Kang-Tae
dc.creatorKrantz, Steven
dc.date2002-12-03
dc.date.accessioned2026-07-07T04:53:29Z
dc.date.available2026-07-07T04:53:29Z
dc.descriptionThe authors lay the foundations for the study of normal families of holomorphic functions and mappings on an infinite-dimensional normed linear space. Characterizations of normal families, in terms of value distribution, spherical derivatives, and other geometric properties are derived. Montel-type theorems are established. A number of different topologies on spaces of holomorphic mappings are considered. Theorems about normal families are formulated and proved in the language of these various topologies. Normal functions are also introduced. Characterizations in terms of automorphisms and also in terms of invariant derivatives are presented.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/math/0212034
dc.identifierhttp://arxiv.org/abs/math/0212034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65867
dc.subjectComplex Variables
dc.subjectFunctional Analysis
dc.titleQuantum normal families: normal families of holomorphic functions and mappings on a Banach space
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