Open Mapping, Inversion and Implicit Function Theorems for Analytic Multivalued Functions

DOI10.1112/plms/s3-49.3.537zbMath0526.46045OpenAlexW2073429257MaRDI QIDQ3041780

Thomas Ransford

Publication date: 1984

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-49.3.537

zbMATH Keywords

fundamental theorem of algebraimplicit function theoremspseudoconvexopen mapping theoremplurisubharmoniclittle Picard theoremanalytic multivalued functionsOka-Nishino theorem

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Pluriharmonic and plurisubharmonic functions (31C10) Derivatives of functions in infinite-dimensional spaces (46G05) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Related Items (9)

\(H^ \infty\)-extensibility and finite proper holomorphic surjections ⋮ Oka-analyticity of the essential spectrum ⋮ Cluster sets of set-valued functions ⋮ Spectrum of banach valued holomorphic functions and polar sets ⋮ New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ An Analytic Set-Valued Selection and Its Applications to the Corona Theorem, to Polynomial Hulls and Joint Spectra ⋮ Two New Open Mapping Theorems for Analytic Multivalued Functions ⋮ Meromorphic multifunctions in complex dynamics ⋮ Removable singularities and Liouville-type property of analytic multivalued functions

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