Rotations in discrete Clifford analysis

The Laplace and Dirac operators are rotation invariant operators which can be neatly expressed in (continuous) Euclidean Clifford analysis. In this paper, we consider the discrete counterparts of these operators, i.e. the discrete Laplacian Δ or star-Laplacian and the discrete Dirac operator ∂. We e...

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Veröffentlicht in:	Applied mathematics and computation 2016-07, Vol.285, p.114-140
Hauptverfasser:	De Ridder, H., Raeymaekers, T., Sommen, F.
Format:	Artikel
Sprache:	eng
Schlagworte:	Construction Discrete Clifford analysis Harmonic functions Invariants Mathematical analysis Mathematical models Monogenic functions Operators Operators (mathematics) Orthogonal Lie algebra Polynomials Rotations Two dimensional
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