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Quaternionic Approximation
With Application to Slice Regular Functions
eBook
Sofort lieferbar | Lieferzeit: Sofort lieferbar I
ISBN-13:
9783030106669
Veröffentl:
2019
Einband:
eBook
Seiten:
221
Autor:
Sorin G. Gal
Serie:
Frontiers in Mathematics
eBook Typ:
PDF
eBook Format:
Reflowable eBook
Kopierschutz:
NO DRM
Sprache:
Englisch
Beschreibung:
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.
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.