Codice  QDD209 
Titolo  Slice Hyperholomorphic Schur Analysis 
Data  20150421 
Autore/i  Alpay, D.; Colombo, F.; Sabadini, I. 
Link  Download full text 
Abstract  The purpose of this work is to define and study the counterpart
of Schur functions and Schur analysis in the
slice hyperholomorphic setting. There are at least two
motivations for such a study, both having in the background the desire to replace the complex numbers by the
quaternions. One motivation comes from the theory of linear systems and signal processing. Another motivation is to define new tools and problems in hypercomplex analysis inspired from the complex setting (for instance NevanlinnaPick interpolation and the characteristic operator functions).
The monograph is divided in three parts: namely Classical Schur
analysis, Quaternionic analysis, and Quaternionic
Schur analysis. Several parts in the second and third part are original and appear in this work for the first time. 
