Slice Hyperholomorphic Schur Analysis

Download or read book Slice Hyperholomorphic Schur Analysis written by Daniel Alpay and published by Birkhäuser. This book was released on 2016-12-09 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 The book includes previously unpublished results and provides the basis for new directions of research.