Abstract
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.
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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.
M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions. 10th printing, National Bureau of Standards, 1972.
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To Klaus Gürlebeck, on the occasion of his 60th birthday
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Constales, D., De Ridder, H. A Compact Cauchy-Kovalevskaya Extension Formula in Discrete Clifford Analysis. Adv. Appl. Clifford Algebras 24, 1005–1010 (2014). https://doi.org/10.1007/s00006-014-0499-4
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DOI: https://doi.org/10.1007/s00006-014-0499-4