SU\G(𝔸)/K·U

Domains of Injective Holomorphy

P. M. Gauthier, Vassili Nestoridis

Type: Article

Publication Date: 2011-05-20

Citations: 0

DOI: https://doi.org/10.4153/cmb-2011-099-9

Abstract

Abstract A domain Ω is called a domain of injective holomorphy if there exists an injective holomorphic function ƒ : Ω → ℂ that is non-extendable. We give examples of domains that are domains of injective holomorphy and others that are not. In particular, every regular domain is a domain of injective holomorphy, and every simply connected domain is a domain of injective holomorphy as well.

Locations

  • Canadian Mathematical Bulletin - View - PDF

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Works That Cite This (0)

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Works Cited by This (5)

Action Title Year Authors
+ Real and Complex Analysis. 1987 G. A. Garreau
Walter Rudin
+ Non extendable holomorphic functions 2005 Vassili Nestoridis
+ Baire’s category theorem and trigonometric series 2000 Jean‐Pierre Kahane
+ THE CAUCHY THEOREM FOR DOMAINS OF ARBITRARY CONNECTIVITY ON RIEMANN SURFACES 2004 Paul M. Gauthier
+ Special Chapters in the Theory of Analytic Functions of Several Complex Variables 1965 Benjamin Fuks