Abstract
We compare holomorphicity in three distinct settings: complex, quaternionic, and bicomplex variables. We show how the analysis in the complex case can be extended in substantially different directions when dealing with quaternions or bicomplex numbers. In particular, we highlight the different dimensionality of hyperfunctions in the three settings.
Mathematics Subject Classification (2010). 30G35.
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© 2011 Springer Basel AG
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Struppa, D.C., Vajiac, A., Vajiac, M.B. (2011). Remarks on Holomorphicity in Three Settings: Complex, Quaternionic, and Bicomplex. In: Sabadini, I., Sommen, F. (eds) Hypercomplex Analysis and Applications. Trends in Mathematics. Springer, Basel. https://doi.org/10.1007/978-3-0346-0246-4_18
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DOI: https://doi.org/10.1007/978-3-0346-0246-4_18
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Publisher Name: Springer, Basel
Print ISBN: 978-3-0346-0245-7
Online ISBN: 978-3-0346-0246-4
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