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Slice Regular Infinite Products

  • Fabrizio Colombo
  • Irene SabadiniEmail author
  • Daniele C. Struppa
Chapter
  • 270 Downloads
Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Abstract

In this chapter we discuss infinite products of quaternions and of quaternionic functions, also in relation with slice regularity. In particular, we introduce the notion of Blaschke factors, Blaschke products and we provide a version of the Weierstrass theorem.

Keywords

Slice Regular Infinite Product Blaschke Product Quaternionic Functions Weierstrass Factorization Theorem 
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Copyright information

© The Author(s) 2016

Authors and Affiliations

  • Fabrizio Colombo
    • 1
  • Irene Sabadini
    • 1
    Email author
  • Daniele C. Struppa
    • 2
  1. 1.Dipartimento di MatematicaPolitecnico di MilanoMilanItaly
  2. 2.Schmid College of Science and TechnologyChapman UniversityOrangeUSA

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