Quaternionic Approximation. With Application to Slice Regular Functions

Par : Sorin G. Gal, Irene Sabadini
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  • PrésentationBroché
  • FormatGrand Format
  • Poids0.408 kg
  • Dimensions16,9 cm × 23,8 cm × 1,7 cm
  • ISBN978-3-030-10664-5
  • EAN9783030106645
  • Date de parution01/01/2009
  • CollectionFrontiers in Mathematics
  • ÉditeurBirkhäuser

Résumé

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 hypercomplexanalysis, 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 hypercomplexanalysis, and approximation theory. It is accessible to graduate students and suitable for graduate courses in the above framework.