Quaternionic Approximation With Application to Slice Regular Functions /

• Κύριοι συγγραφείς: Gal, Sorin G. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Sabadini, Irene (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: Frontiers in Mathematics,
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.