Codice  QDD213 
Titolo  BeurlingLax type theorems in the complex and quaternionic setting: the halfspace case 
Data  20150828 
Autore/i  Alpay, D.; Sabadini, I. 
Link  Download full text 
Abstract  We give a generalization of the BeurlingLax theorem both in the complex and quaternionic settings. We consider in the first case
functions meromorphic in the right complex halfplane, and functions slice hypermeromorphic in the right quaternionic halfspace in the second case. In both settings we also discuss a unified framework, which includes both the disk and the halfplane for the complex case and the
open unit ball and the halfspace in the quaternionic setting.

