Abstract
In this chapter, we present the counterparts in the slice regular setting of some classical results in complex analysis, namely approximation results of Runge type, Mergelyan type and Arakelian type. Then, we study approximation by quaternionic Faber polynomials and by quaternionic polynomials in Bergman spaces.
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Gal, S.G., Sabadini, I. (2019). Approximation of Slice Regular Functions in Compact Sets. In: Quaternionic Approximation . Frontiers in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-10666-9_4
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DOI: https://doi.org/10.1007/978-3-030-10666-9_4
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-10664-5
Online ISBN: 978-3-030-10666-9
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