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Experimental Mathematics Volume 18, 2009 - Issue 4
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Original Article

A Basic Framework for Discrete Clifford Analysis

Hennie De Schepper Clifford Research Group, Department of Mathematical Analysis, Faculty of Engineering, Ghent University, Galglaan 2, 9000 Gent, Belgium
,
Frank Sommen Clifford Research Group, Department of Mathematical Analysis, Faculty of Sciences, Ghent University, Galglaan 2, 9000 Gent, Belgium
&
Liesbet Van de Voorde Clifford Research Group, Department of Mathematical Analysis, Faculty of Engineering, Ghent University, Galglaan 2, 9000 Gent, Belgium
Pages 385-395 | Published online: 30 Jan 2011

Citations (12)

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Read on this site (2)

F. Baaske, S. Bernstein, H. De Ridder & F. Sommen. (2014) On solutions of a discretized heat equation in discrete Clifford analysis. Journal of Difference Equations and Applications 20:2, pages 271-295.
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H. De Bie, H. De Ridder & F. Sommen. (2012) Discrete Clifford analysis: the one-dimensional setting. Complex Variables and Elliptic Equations 57:7-8, pages 903-920.
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Articles from other publishers (10)

A. Massé, F. Sommen, H. De Ridder & T. Raeymaekers. (2021) Discrete weierstrass transform in discrete hermitian clifford analysis. Applied Mathematics and Computation 391, pages 125641.
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Paula Cerejeiras, Uwe Kähler, Anastasiia Legatiuk & Dmitrii Legatiuk. (2020) Discrete Hardy Spaces for Bounded Domains in $${\mathbb {R}}^{n}$$. Complex Analysis and Operator Theory 15:1.
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Anastasiia Legatiuk, Klaus Gürlebeck & Angela Hommel. (2018) The Discrete Borel–Pompeiu Formula on a Rectangular Lattice. Advances in Applied Clifford Algebras 28:3.
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H. De Ridder & T. Raeymaekers. (2017) Spinor Spaces in Discrete Clifford Analysis. Complex Analysis and Operator Theory 11:5, pages 1113-1137.
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Min Ku & Uwe Kähler. (2016) Numerical Null-Solutions to Iterated Dirac Operator on Bounded Domains. Complex Analysis and Operator Theory 11:2, pages 307-328.
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H. De Ridder, T. Raeymaekers & F. Sommen. (2016) Rotations in discrete Clifford analysis. Applied Mathematics and Computation 285, pages 114-140.
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Hilde De Ridder & Frank Sommen. (2016) Fueter's theorem in discrete Clifford analysis. Mathematical Methods in the Applied Sciences 39:7, pages 1908-1920.
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Frank Sommen & Hennie De Schepper. 2015. Operator Theory. Operator Theory 1339 1367 .
Frank Sommen & Hennie De Schepper. 2015. Operator Theory. Operator Theory 1 27 .
H. De Ridder, H. De Schepper & F. Sommen. (2011) Fueter polynomials in discrete Clifford analysis. Mathematische Zeitschrift 272:1-2, pages 253-268.
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