Regular Moebius transformations of the space of quaternions

DOI10.1007/s10455-010-9238-9zbMath1214.30044arXiv0811.0965OpenAlexW2031732957MaRDI QIDQ532566

Caterina Stoppato

Publication date: 5 May 2011

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.0965

zbMATH Keywords

hypercomplex analysisfunction of one quaternionic variablequaternionic linear fractional transformationquaternionic Moebius transformation

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Other generalizations of function theory of one complex variable (32A30)

Related Items (max. 100)

Möbius transformation for left-derivative quaternion holomorphic functions ⋮ Images of circles, lines, balls and half-planes under Möbius transformations ⋮ Singularities of slice regular functions ⋮ s-regular functions which preserve a complex slice ⋮ Some Notions of Subharmonicity over the Quaternions ⋮ Slice starlike functions over quaternions ⋮ Finite Blaschke products over quaternions: unitary realizations and zero structure ⋮ Landau’s theorem for slice regular functions on the quaternionic unit ball ⋮ Twistor transforms of quaternionic functions and orthogonal complex structures ⋮ Invariant metrics for the quaternionic Hardy space ⋮ The Bohr Theorem for slice regular functions ⋮ Bohr theorems for slice regular functions over octonions ⋮ On geometric aspects of quaternionic and octonionic slice regular functions ⋮ Slice regular Malmquist-Takenaka system in the quaternionic Hardy spaces ⋮ Regular vs. Classical Möbius Transformations of the Quaternionic Unit Ball ⋮ Geometric function theory over quaternionic slice domains ⋮ Quaternionic inner and outer functions ⋮ Bloch, Besov and Dirichlet spaces of slice hyperholomorphic functions ⋮ On the slice regular Schwarz derivative ⋮ Symmetries of slice monogenic functions ⋮ Slice regular composition operators

Cites Work

• Unnamed Item
• Unnamed Item
• Extension results for slice regular functions of a quaternionic variable
• Rigidity for regular functions over Hamilton and Cayley numbers and a boundary Schwarz' lemma
• A functional calculus in a noncommutative setting
• The fundamental theorem of algebra for Hamilton and Cayley numbers
• A Cauchy kernel for slice regular functions
• Zeros of regular functions and polynomials of a quaternionic variable
• On the multiplicity of zeroes of polynomials with quaternionic coefficients
• Analysis of Dirac systems and computational algebra.
• Die Funktionentheorie der Differentialgleichungen \(\Delta u=0\) und \(\Delta\Delta u=0\) mit vier reellen Variablen
• A new functional calculus for noncommuting operators
• A new theory of regular functions of a quaternionic variable
• A new approach to Cullen-regular functions of a quaternionic variable
• An integral theorem for analytic intrinsic functions on quaternions
• The Open Mapping Theorem for Regular Quaternionic Functions
• Poles of regular quaternionic functions
• Möbius transformations in expressed through 2×2 matrices of clifford numbers
• Quaternionic analysis
• On the Structure of the Set of Zeros of Quaternionic Polynomials
• An Overview on Functional Calculus in Different Settings
• Recent Developments for Regular Functions of a Hypercomplex Variable
• Moebius transformations and the Poincare distance in the quaternionic setting
• The Zero Sets of Slice Regular Functions and the Open Mapping Theorem
• Equations in Quaternions

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