108 citations · 443 across the 80 of their papers we have counts for
3 papers · 2 filters
Realizations of slice hyperholomorphic generalized contractive and positive functions
Daniel Alpay, Fabrizio Colombo, Izchak Lewkowicz +1
We introduce generalized Schur functions and generalized positive functions in setting of slice hyperholomorphic functions and study their realizations in terms of associated repro…
Self-mappings of the quaternionic unit ball: multiplier properties, Schwarz-Pick inequality, and Nevanlinna--Pick interpolation problem
Daniel Alpay, Vladimir Bolotnikov, Fabrizio Colombo +1
We study several aspects concerning slice regular functions mapping the quaternionic open unit ball into itself. We characterize these functions in terms of their Taylor coefficien…
A new integral formula for the inverse Fueter mapping theorem
Fabrizio Colombo, Dixan Peña Peña, Irene Sabadini +1
In this paper we provide an alternative method to construct the Fueter primitive of an axial monogenic function of degree , which is complementary to the one used in [F. Colombo…