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Quaternionic Approximation: With Application to Slice Regular Functions
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Quaternionic Approximation: With Application to Slice Regular Functions

Quaternionic Approximation: With Application to Slice Regular Functions

Sorin G. / Sabadini Gal

221 pages, parution le 28/04/2019

Résumé

This book presents the extensions to the quaternionic setting of some of the main approximation results in complex analysis.

The book is addressed to researchers in various areas of mathematical analysis, in particular hypercomplex analysis, and approximation theory.

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.


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.

Caractéristiques techniques

  PAPIER
Éditeur(s) Springer
Auteur(s) Sorin G. / Sabadini Gal
Parution 28/04/2019
Nb. de pages 221
EAN13 9783030106645

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