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Quaternionic approximationwith appli...

Gal, Sorin G.

Quaternionic approximationwith application to slice regular functions /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Quaternionic approximationby Sorin G. Gal, Irene Sabadini.
其他題名:	with application to slice regular functions /
作者:	Gal, Sorin G.
其他作者:	Sabadini, Irene.
出版者:	Cham :Springer International Publishing :2019.
面頁冊數:	x, 221 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Functions, Quaternion.
電子資源:	https://doi.org/10.1007/978-3-030-10666-9
ISBN:	nam a2200337 a 4500

Quaternionic approximationwith 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: nam a2200337 a 4500

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

678655
Functions, Quaternion.

LC Class. No.: QA331.7

Dewey Class. No.: 515.9

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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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