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2009 A Basic Framework for Discrete Clifford Analysis
Hennie De Schepper, Frank Sommen, Liesbet Van de Voorde
Experiment. Math. 18(4): 385-395 (2009).

Abstract

A basic framework is derived for the development of a higher-dimensional discrete function theory in a Clifford algebra context. The concept of a discrete monogenic function is introduced as a proper generalization of the discrete holomorphic, or monodiffric, functions introduced by Isaacs in the 1950s. A concrete model is provided for the definition of the corresponding discrete Dirac operator.

Citation

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Hennie De Schepper. Frank Sommen. Liesbet Van de Voorde. "A Basic Framework for Discrete Clifford Analysis." Experiment. Math. 18 (4) 385 - 395, 2009.

Information

Published: 2009
First available in Project Euclid: 25 November 2009

zbMATH: 1186.30044
MathSciNet: MR2583540

Subjects:
Primary: 30G35‎

Rights: Copyright © 2009 A K Peters, Ltd.

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Vol.18 • No. 4 • 2009
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