Advances in Applied Clifford Algebras

, Volume 24, Issue 4, pp 1005–1010 | Cite as

A Compact Cauchy-Kovalevskaya Extension Formula in Discrete Clifford Analysis

  • Denis Constales
  • Hilde De Ridder


We prove a compact expression for the Cauchy-Kovalevskaya extension in the setting of discrete Clifford analysis; it seamlessly simplifies to the well-know exponential formula in the continuous setting when the discrete step size tends to zero.


Dirac operator discrete Clifford analysis Cauchy-Kovalevskaya extension 


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    H. De Ridder, H. De Schepper, F. Sommen, The Cauchy-Kovalevskaya extension theorem in discrete Clifford analysis. Communications on pure and applied analysis 10 (4) (2011), 1097–1109.CrossRefMATHMathSciNetGoogle Scholar
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    M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions. 10th printing, National Bureau of Standards, 1972.Google Scholar

Copyright information

© Springer Basel 2014

Authors and Affiliations

  1. 1.Department of Mathematical AnalysisGentBelgium

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