Quaternionic Approximation: With Application to Slice Regular Functions
Author:   Sorin G. Gal ,  Irene Sabadini
Publisher:   Springer Nature Switzerland AG
Edition:   1st ed. 2019
ISBN:  

9783030106645


Pages:   221
Publication Date:   29 April 2019
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Quaternionic Approximation: With Application to Slice Regular Functions


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Overview

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.

Full Product Details

Author:   Sorin G. Gal ,  Irene Sabadini
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   1st ed. 2019
Weight:   0.454kg
ISBN:  

9783030106645


ISBN 10:   3030106640
Pages:   221
Publication Date:   29 April 2019
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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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