Hypercomplex Analysis: New Perspectives and Applications
Editors: Bernstein, S., Kähler, U., Sabadini, I., Sommen, F. (Eds.)
Free Preview- Covers developments in all directions of hypercomplex analysis
- Presents new perspectives and current trends for researchers interested in or related to the topic
- Includes contributions written by leading experts in the field
- Includes applications (image analysis, mathematical physics and mechanics, etc.) for persons working in these areas
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- About this book
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Hypercomplex analysis is the extension of complex analysis to higher dimensions where the concept of a holomorphic function is substituted by the concept of a monogenic function. In recent decades this theory has come to the forefront of higher dimensional analysis. There are several approaches to this: quaternionic analysis which merely uses quaternions, Clifford analysis which relies on Clifford algebras, and generalizations of complex variables to higher dimensions such as split-complex variables. This book includes a selection of papers presented at the session on quaternionic and hypercomplex analysis at the ISAAC conference 2013 in Krakow, Poland. The topics covered represent new perspectives and current trends in hypercomplex analysis and applications to mathematical physics, image analysis and processing, and mechanics.
- Table of contents (15 chapters)
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Symmetries and Associated Pairs in Quaternionic Analysis
Pages 1-18
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Generalized Quaternionic Schur Functions in the Ball and Half-space and Krein–Langer Factorization
Pages 19-41
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The Fock Space in the Slice Hyperholomorphic Setting
Pages 43-59
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Multi M q -monogenic Function in Different Dimension
Pages 61-73
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The Fractional Monogenic Signal
Pages 75-88
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Table of contents (15 chapters)
- Download Preface 1 PDF (25.4 KB)
- Download Table of contents PDF (57.4 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Hypercomplex Analysis: New Perspectives and Applications
- Editors
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- Swanhild Bernstein
- Uwe Kähler
- Irene Sabadini
- Franciscus Sommen
- Series Title
- Trends in Mathematics
- Copyright
- 2014
- Publisher
- Birkhäuser Basel
- Copyright Holder
- Springer International Publishing Switzerland
- eBook ISBN
- 978-3-319-08771-9
- DOI
- 10.1007/978-3-319-08771-9
- Hardcover ISBN
- 978-3-319-08770-2
- Softcover ISBN
- 978-3-319-35362-3
- Series ISSN
- 2297-0215
- Edition Number
- 1
- Number of Pages
- VII, 227
- Topics
