The purpose of the present book is to develop the counterparts of Banach and Hilbert spaces in the setting of slice hyperholomorphic functions. Banach and Hilbe

This book defines and examines the counterpart of Schur functions and Schur analysis in the slice hyperholomorphic setting. It is organized into three parts: th

This book presents a new theory for evolution operators and a new method for defining fractional powers of vector operators. This new approach allows to define

This work contributes to the study of quaternionic linear operators. This study is a generalization of the complex case, but the noncommutative setting of quate