Quaternionic Approximation: With Application to Slice Regular Functions
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 ana…
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- Full title :Quaternionic Approximation : With Application to Slice Regular Functions / by Sorin G. Gal, Irene Sabadini.
Summary
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.
Read More ↓Edition Statements
- Publication Date:2019.
- Edition:1st ed. 2019
Publication Statements
- Publisher(s):Imprint: Birkhäuser, Springer International Publishing
- Place of Publication:Cham
- Language:eng
- Publication Date:2019.
The Physical Object
- Description:1 online resource (X, 221 p. :) : online resource.
Edition Identifiers
- ISBN:9783030106669, 3030106667
- DOI:10.1007/978-3-030-10666-9.
- oclc:on1205239809
- LC Classification:QA331-355
- Dewey Decimal:515.9
Table of Contents
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.
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