Bloch's theorem in the context of quaternion analysis
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Publication:1930681
DOI10.1007/BF03321843zbMath1262.30057arXiv1201.0530OpenAlexW1964257784MaRDI QIDQ1930681
Klaus Gürlebeck, João Pedro Morais
Publication date: 11 January 2013
Published in: Computational Methods and Function Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1201.0530
Bloch constantgeneralized Cauchy-Riemann operatormonogenic functionsRiesz systemquaternion analysishypercomplex derivative
Functions of hypercomplex variables and generalized variables (30G35) Power series, series of functions of several complex variables (32A05)
Related Items (6)
On Hadamard's three‐hyperballs theorem and its applications to Whittaker‐Cannon hypercomplex theory ⋮ Comments on an Orthogonal Family of Monogenic Functions on Spheroidal Domains ⋮ Landau’s theorem for slice regular functions on the quaternionic unit ball ⋮ A Bloch-Landau Theorem for Slice Regular Functions ⋮ Hadamard three-hyperballs type theorem and overconvergence of special monogenic simple series ⋮ On 3D orthogonal prolate spheroidal monogenics
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