Fixed points and normal families of quasiregular mappings

DOI10.1007/BF02790273zbMath1133.30322OpenAlexW2060257990MaRDI QIDQ2479601

Heike Siebert

Publication date: 1 April 2008

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02790273

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Normal functions of one complex variable, normal families (30D45) Iteration theory, iterative and composite equations (39B12) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Related Items (11)

Iteration of quasiregular tangent functions in three dimensions ⋮ Iteration of quasiregular mappings ⋮ The fast escaping set for quasiregular mappings ⋮ Foundations for an iteration theory of entire quasiregular maps ⋮ Normal families of functions for subelliptic operators and the theorems of Montel and Koebe ⋮ Normal families and fixed points of iterates ⋮ Bloch's principle ⋮ The escaping set of a quasiregular mapping ⋮ Quasiregular dynamics on the n-sphere ⋮ Chaotic dynamics of a quasiregular sine mapping ⋮ Poincaré linearizers in higher dimensions

Cites Work

• On the number of omitted values of entire quasiregular mappings
• Periodic quasimeromorphic mappings in \(R^n\)
• A new proof of the Ahlfors five islands theorem
• Periodic points and normal families
• Normal Families of Quasimeromorphic Mappings
• Periodic points of entire functions: proof of a conjecture of Baker
• A Heuristic Principle in Complex Function Theory
• Fix-points and a normal family of analytic functions
• Repulsive Fixpoints of Analytic Functions with Applications to Complex Dynamics
• Local dynamics of uniformly quasiregular mappings
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