Slice Hyperholomorphic Schur Analysis
Published on 9. December 2016
XII, 362 pages
978-3-319-42514-6 (ISBN)
Description
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 The book includes previously unpublished results and provides the basis for new directions of research.
Reviews / Votes
"Purpose of the book is to define and study the counterpart of Schur functions and Schur analysis in the context of slice hyperholomorphic quaternionic functions. . the book is an important contribution into each of the two theoriesthose of Schur analysis and of slice hyperholomorphic functions." (Michael Shapiro, Mathematical Reviews, September, 2017)More details
Series
Edition
1st ed. 2016
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Illustrations
XII, 362 p.
File size
3,45 MB
ISBN-13
978-3-319-42514-6 (9783319425146)
DOI
10.1007/978-3-319-42514-6
Schweitzer Classification
Other editions
Additional editions
Daniel Alpay | Fabrizio Colombo | Irene Sabadini
Slice Hyperholomorphic Schur Analysis
Book
12/2016
Birkhäuser
€106.99
Shipment within 10-15 days
Content
Part I: Classical Schur analysis.- Preliminaries.- Rational functions.- Schur analysis.- Part II: Quaternionic analysis.- Finite dimensional preliminaries.- Quaternionic functional analysis.- Slice hyperholomorphic functions.- Slice hyperholomorphic operator-valued functions.- Part III: Quaternionic Schur analysis.- Reproducing kernel spaces and realizations.- Rational slice hyperholomorphic functions.- First applications: scalar interpolation and first order discrete systems.- Interpolation: operator-valued case.
