Slice Hyperholomorphic Schur Analysis
Authors: Alpay, Daniel, Colombo, Fabrizio, Sabadini, Irene
Free Preview- Deals with Schur Analysis in the quaternionic setting
- Contains several new results which cannot be found anywhere else in the literature
- Defines and studies the counterpart of Schur functions and Schur analysis in the slice hyperholomorphic setting
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- About this book
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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 The book includes previously unpublished results and provides the basis for new directions of research.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
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“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)
- Table of contents (11 chapters)
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Preliminaries
Pages 3-21
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Rational Functions
Pages 23-35
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Schur Analysis
Pages 37-47
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Finite-dimensional Preliminaries
Pages 51-69
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Quaternionic Functional Analysis
Pages 71-115
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Table of contents (11 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Slice Hyperholomorphic Schur Analysis
- Authors
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- Daniel Alpay
- Fabrizio Colombo
- Irene Sabadini
- Series Title
- Operator Theory: Advances and Applications
- Series Volume
- 256
- Copyright
- 2016
- Publisher
- Birkhäuser Basel
- Copyright Holder
- Springer International Publishing Switzerland
- eBook ISBN
- 978-3-319-42514-6
- DOI
- 10.1007/978-3-319-42514-6
- Hardcover ISBN
- 978-3-319-42513-9
- Softcover ISBN
- 978-3-319-82597-7
- Series ISSN
- 0255-0156
- Edition Number
- 1
- Number of Pages
- XII, 362
- Topics
