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Catalogue Information
Field name	Details
Dewey Class	515.9
Title	Quaternionic Approximation ([EBook]) : With Application to Slice Regular Functions / by Sorin G. Gal, Irene Sabadini.
Author	Gal, Sorin G.
Added Personal Name	Sabadini, Irene , 1965-
Other name(s)	SpringerLink (Online service)
Publication	Cham : Springer International Publishing , 2019.
Physical Details	X, 221 pages : online resource.
Series	Frontiers in Mathematics
ISBN	9783030106669
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-10666-9
Links to Related Works	Subject References: Approximation theory . Approximations and Expansions . Functions of a Complex Variable . Functions of complex variables . Authors: author . Gal, Sorin G. . Sabadini, Irene 1965- . Corporate Authors: SpringerLink (Online service) . Series: Frontiers in Mathematics . Classification: 515.9 . 515.9 (DDC 23) .

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Quaternionic Approximation: With Application to Slice Regular Functions

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