1 citations · 1 across the 1 of their papers we have counts for
3 papers
math.CV2018
Quaternionic inner and outer functions
Alessandro Monguzzi, Giulia Sarfatti, Daniel Seco
We study properties of inner and outer functions in the Hardy space of the quaternionic unit ball. In particular, we give sufficient conditions as well as necessary ones for functi…
math.CV2018
Shift invariant subspaces of slice functions
Alessandro Monguzzi, Giulia Sarfatti
In this paper we characterize the closed invariant subspaces for the (-)multiplier operator of the quaternionic space of slice functions. As a consequence, we obtain the i…
math.CV2017★ 1 cited
The Mittag-Leffler Theorem for regular functions of a quaternionic variable
Graziano Gentili, Giulia Sarfatti
We prove a version of the classical Mittag-Leffler Theorem for regular functions over quaternions. Our result relies upon an appropriate notion of principal part, that is inspired…