An Invitation to Split Quaternionic Analysis

DOI10.1007/978-3-0346-0246-4_12zbMath1214.30043arXiv1009.2540OpenAlexW1679242867MaRDI QIDQ5392626

Matvei Libine

Publication date: 13 April 2011

Published in: Hypercomplex Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.2540

zbMATH Keywords

Minkowski spacesplit quaternionsCauchy-Fueter formula\mathbb C)/SL(2\mathbb R)\)\mathbb R)\) and \(SL(2harmonic analysis on \(SL(2

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Functions of hypercomplex variables and generalized variables (30G35)

Related Items (11)

Some similarities classes related to O(2,1) in split quaternions ⋮ A corresponding Cullen-regularity for split-quaternionic-valued functions ⋮ The Moore-Penrose inverses of split quaternions ⋮ Gleason's problem, rational functions and spaces of left-regular functions: the split-quaternion setting ⋮ On singular value decomposition for split quaternion matrices and applications in split quaternionic mechanics ⋮ An efficient method for the split quaternion equality constrained least squares problem in split quaternionic mechanics ⋮ Regular functions on the scaled hypercomplex numbers ⋮ Split quaternionic analysis and separation of the series for \(\mathrm{SL}(2,\mathbb R)\) and \(\mathrm{SL}(2,\mathbb C)/\mathrm{SL}(2,\mathbb R)\) ⋮ Split octonionic Cauchy integral formula ⋮ Clifford analysis with indefinite signature ⋮ Split-quaternions and the Dirac equation

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