Slice Regular Functions: Analysis
- 267 Downloads
In this chapter we study the analytic properties of slice regular functions. We start by illustrating the Cauchy and Schwarz integral formulas as well as some consequences. Then we prove a version of the Riemann mapping theorem, we discuss the properties of the zeros of slice regular functions and the Ehrenpreis-Malgrange lemma. Finally we prove a quaternionic version of Cartan theorem.