Rotations in discrete Clifford analysis

DOI10.1016/j.amc.2016.03.027zbMath1410.39035OpenAlexW2341595893MaRDI QIDQ1733487

Fransiscus Sommen, Hilde De Ridder, Tim Raeymaekers

Publication date: 21 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.03.027

zbMATH Keywords

rotationsharmonic functionsmonogenic functionsorthogonal Lie algebradiscrete Clifford analysis

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Difference operators (39A70)

Related Items (3)

Spinor spaces in discrete Clifford analysis ⋮ Models for Some Irreducible Representations of $$\mathfrak{so}(m, \mathbb{C})$$ in Discrete Clifford Analysis ⋮ On the algebra of symmetries of Laplace and Dirac operators

Cites Work

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• A Basic Framework for Discrete Clifford Analysis
• On finite difference potentials and their applications in a discrete function theory
• Further results in discrete Clifford analysis
• Discrete function theory based on skew Weyl relations
• Generalization of the Cauchy-Riemann Equations and Representations of the Rotation Group
• On solutions of a discretized heat equation in discrete Clifford analysis

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