Quaternionic Approximation
With Application to Slice Regular Functions
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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.
Includes research never published before in a book Provides material suitable for graduate students Gives an insightful overview on an active research area in complex analysis
Autor*in
Sorin G. Gal
Themen in »Quaternionic Approximation«
quaternionic functions slice regular functions monogenic functions quaternionic polynomials approximation by quaternionic polynomials approximation by nonpolynomial convolutions Bernstein Erdos-Lax Turan inequalities