Approximation of Slice Regular Functions in Compact Sets

  • Sorin G. Gal
  • Irene Sabadini
Part of the Frontiers in Mathematics book series (FM)


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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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Sorin G. Gal
    • 1
  • Irene Sabadini
    • 2
  1. 1.Department of Mathematics and Computer ScienceUniversity of OradeaOradeaRomania
  2. 2.Dipartimento di MatematicaPolitecnico di MilanoMilanoItaly

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