
Quaternionic Approximation
With Application to Slice Regular Functions
Birkhäuser (Publisher)
Published in August 2019
Book
Paperback/Softback
X, 221 pages
978-3-030-10664-5 (ISBN)
Description
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.
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.
More details
Product info
Book
Series
Edition
1st ed. 2019
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Illustrations
Bibliographie
Dimensions
Height: 240 mm
Width: 168 mm
Thickness: 13 mm
Weight
397 gr
ISBN-13
978-3-030-10664-5 (9783030106645)
DOI
10.1007/978-3-030-10666-9
Schweitzer Classification
Other editions
Additional editions

E-Book
04/2019
1st Edition
Birkhäuser
€58.84
Available for download
Content
Preliminaries on Hypercomplex Analysis.- Approximation of Continuous Functions.- Approximation by Bernstein and Convolution Type Operators.- Approximation of Slice Regular Functions in Compact Sets.- Overconvergence, Equiconvergence and Universality Properties.- Inequalities for Quaternionic Polynomials.- Approximation of nullsolutions of generalized Cauchy-Riemann operators.