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.
| ISBN: | 9783030106645 |
| Publication date: | 29th April 2019 |
| Author: | Sorin G. Gal, Irene Sabadini |
| Publisher: | Springer Nature Switzerland AG |
| Format: | Paperback |
| Pagination: | 221 pages |
| Series: | Frontiers in Mathematics |
| Genres: |
Complex analysis, complex variables Differential calculus and equations |