Quaternionic Approximation With Application to Slice Regular Functions /

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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
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:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Gal, Sorin G.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Quaternionic Approximation   |h [electronic resource] :  |b With Application to Slice Regular Functions /  |c by Sorin G. Gal, Irene Sabadini. 
250 |a 1st ed. 2019. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Birkhäuser,  |c 2019. 
300 |a X, 221 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Frontiers in Mathematics,  |x 1660-8046 
505 0 |a 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. 
520 |a 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. 
650 0 |a Functions of complex variables. 
650 0 |a Approximation theory. 
650 1 4 |a Functions of a Complex Variable.  |0 http://scigraph.springernature.com/things/product-market-codes/M12074 
650 2 4 |a Approximations and Expansions.  |0 http://scigraph.springernature.com/things/product-market-codes/M12023 
700 1 |a Sabadini, Irene.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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776 0 8 |i Printed edition:  |z 9783030106645 
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830 0 |a Frontiers in Mathematics,  |x 1660-8046 
856 4 0 |u https://doi.org/10.1007/978-3-030-10666-9  |z Full Text via HEAL-Link 
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950 |a Mathematics and Statistics (Springer-11649)