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Quaternionic approximation = with application to slice regular functions /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Quaternionic approximation/ by Sorin G. Gal, Irene Sabadini.
Reminder of title:	with application to slice regular functions /
Author:	Gal, Sorin G.
other author:	Sabadini, Irene.
Published:	Cham :Springer International Publishing : : 2019.,
Description:	x, 221 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Functions, Quaternion. -
Online resource:	https://doi.org/10.1007/978-3-030-10666-9
ISBN:	9783030106669

Quaternionic approximation = with application to slice regular functions /
Gal, Sorin G.

Quaternionic approximationwith application to slice regular functions /[electronic resource] :by Sorin G. Gal, Irene Sabadini. - Cham :Springer International Publishing :2019. - x, 221 p. :ill., digital ;24 cm. - Frontiers in mathematics,1660-8046. - Frontiers in mathematics..

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.

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: 9783030106669

Standard No.: 10.1007/978-3-030-10666-9doiSubjects--Topical Terms:

1023861
Functions, Quaternion.

LC Class. No.: QA331.7

Dewey Class. No.: 515.9

Quaternionic approximation = with application to slice regular functions /
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505 0 $a 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.
520 $a 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.
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