Quaternionic Approximation With Application to Slice Regular Functions /

• Main Authors: Gal, Sorin G. (Author, http://id.loc.gov/vocabulary/relators/aut), Sabadini, Irene (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
• Edition: 1st ed. 2019.
• Series: Frontiers in Mathematics,
• Subjects: Functions of complex variables.; Approximation theory.; Functions of a Complex Variable.; Approximations and Expansions.

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 th...

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.