Overview
- Includes research never published before in a book
- Provides material suitable for graduate students
- Gives an insightful overview on an active research area in complex analysis
Part of the book series: Frontiers in Mathematics (FM)
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Table of contents (7 chapters)
Keywords
About this book
This book presents the extensions to the quaternionic setting of some of the main approximation results in complex analysis. It also includes the main inequalities regarding the behavior of the derivatives of polynomials with quaternionic cofficients. With some few exceptions, all the material in this book belongs to recent research of the authors on the approximation of slice regular functions of a quaternionic variable.
The book is addressed to researchers in various areas of mathematical analysis, in particular hypercomplex analysis, and approximation theory. It is accessible to graduate students and suitable for graduate courses in the above framework.
Authors and Affiliations
Bibliographic Information
Book Title: Quaternionic Approximation
Book Subtitle: With Application to Slice Regular Functions
Authors: Sorin G. Gal, Irene Sabadini
Series Title: Frontiers in Mathematics
DOI: https://doi.org/10.1007/978-3-030-10666-9
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Softcover ISBN: 978-3-030-10664-5Published: 29 April 2019
eBook ISBN: 978-3-030-10666-9Published: 12 April 2019
Series ISSN: 1660-8046
Series E-ISSN: 1660-8054
Edition Number: 1
Number of Pages: X, 221
Topics: Functions of a Complex Variable, Approximations and Expansions