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.
• Φυσική περιγραφή: X, 221 p. online resource.
• ISBN: 9783030106669
• ISSN: 1660-8046
• DOI: 10.1007/978-3-030-10666-9

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.