Rigidity for regular functions over Hamilton and Cayley numbers and a boundary Schwarz' lemma

DOI10.1016/S0019-3577(09)00011-1zbMath1176.30100WikidataQ124859091 ScholiaQ124859091MaRDI QIDQ735423

Fabio Vlacci, Graziano Gentili

Publication date: 22 October 2009

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

Schwarz lemmaCayley numbersHamilton numbers

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Other generalizations of function theory of one complex variable (32A30)

Related Items (8)

Schwarz's lemma for slice Clifford analysis ⋮ The Schwarz lemma at the boundary of the symmetrized bidisc ⋮ Landau’s theorem for slice regular functions on the quaternionic unit ball ⋮ Regular Moebius transformations of the space of quaternions ⋮ Recent Developments for Regular Functions of a Hypercomplex Variable ⋮ Poles of regular quaternionic functions ⋮ Julia theory for slice regular functions ⋮ The Schwarz Lemma: Rigidity and Dynamics

Cites Work

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• Rigidity of Holomorphic Mappings and a New Schwarz Lemma at the Boundary
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• A Boundary Rigidity Problem For Holomorphic Mappings on Some Weakly Pseudoconvex Domains
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