Slice Hyperholomorphic Schur Analysis

• Main Authors: Alpay, Daniel (Author), Colombo, Fabrizio (Author), Sabadini, Irene (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
• Series: Operator Theory: Advances and Applications, 256
• Subjects: Mathematics.; Functional analysis.; Functions of complex variables.; Operator theory.; Functions of a Complex Variable.; Functional Analysis.; Operator Theory.
• Physical Description: XII, 362 p. online resource.
• ISBN: 9783319425146
• ISSN: 0255-0156 ;

This book defines and examines the counterpart of Schur functions and Schur analysis in the slice hyperholomorphic setting. It is organized into three parts: the first introduces readers to classical Schur analysis, while the second offers background material on quaternions, slice hyperholomorphic functions, and quaternionic functional analysis. The third part represents the core of the book and explores quaternionic Schur analysis and its various applications. The book includes previously unpublished results and provides the basis for new directions of research.