Spinor Spaces in Discrete Clifford Analysis

Spinor Spaces in Discrete Clifford Analysis

In this paper we work in the ‘split’ discrete Clifford analysis setting, i.e. the m -dimensional function theory concerning null-functions, defined on the grid Z m , of the discrete Dirac operator ∂ , involving both forward and backward differences, which factorizes the (discrete) Star-Laplacian. We...

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Veröffentlicht in:Complex analysis and operator theory 2017-06, Vol.11 (5), p.1113-1137
Hauptverfasser: De Ridder, H., Raeymaekers, T.
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Representations
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description In this paper we work in the ‘split’ discrete Clifford analysis setting, i.e. the m -dimensional function theory concerning null-functions, defined on the grid Z m , of the discrete Dirac operator ∂ , involving both forward and backward differences, which factorizes the (discrete) Star-Laplacian. We show how the space M k of discrete spherical monogenics homogeneous of degree k , is decomposable into irreducible so ( m ) -representations.
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Operators (mathematics)
Representations
title Spinor Spaces in Discrete Clifford Analysis
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