Abstract
In this paper we are going to study boundary values for discrete monogenic functions over bounded spatial domains. After establishing the discrete Stokes formula and the Borel–Pompeiu formula we are going to construct discrete Plemelj–Sokhotzki formulae, discrete Plemelj projections and discrete Hardy spaces.
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Cerejeiras, P., Kähler, U., Legatiuk, A., Legatiuk, D. (2019). Boundary Values of Discrete Monogenic Functions over Bounded Domains in \( \mathbb{R}^3 \). In: Alpay, D., Vajiac, M. (eds) Linear Systems, Signal Processing and Hypercomplex Analysis. Operator Theory: Advances and Applications(), vol 275. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-18484-1_5
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DOI: https://doi.org/10.1007/978-3-030-18484-1_5
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-18483-4
Online ISBN: 978-3-030-18484-1
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