Two New Open Mapping Theorems for Analytic Multivalued Functions

DOI10.2307/2159347zbMath0755.30040OpenAlexW4247791522MaRDI QIDQ4018807

Sarah Ruth Harbottle, Line Baribeau

Publication date: 16 January 1993

Full work available at URL: https://doi.org/10.2307/2159347

zbMATH Keywords

polar setsconvex setsplurisubharmonic functionRouche's theoremopen mapping theoremanalytic multivalued function

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Polynomial convexity, rational convexity, meromorphic convexity in several complex variables (32E20) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Related Items

Subtraction theorems and approximate openness for multifunctions: Topological and infinitesimal viewpoints

Cites Work

• Unnamed Item
• On the range of an analytic multivalued function
• Analytic multifunctions, the \({\bar\partial}\)-equation, and a proof of the Corona theorem
• Analytic set-valued functions and spectra
• Analytic multivalued functions in Banach algebras and uniform algebras
• Open Mapping, Inversion and Implicit Function Theorems for Analytic Multivalued Functions

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