LEADER 02752nam 22005055 450 001 9910338252403321 005 20251113200240.0 010 $a3-030-10666-7 024 7 $a10.1007/978-3-030-10666-9 035 $a(CKB)4100000007938138 035 $a(MiAaPQ)EBC5771050 035 $a(DE-He213)978-3-030-10666-9 035 $z(PPN)258847395 035 $a(PPN)235668761 035 $a(EXLCZ)994100000007938138 100 $a20190412d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aQuaternionic Approximation $eWith Application to Slice Regular Functions /$fby Sorin G. Gal, Irene Sabadini 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2019. 215 $a1 online resource (228 pages) 225 1 $aFrontiers in Mathematics,$x1660-8054 311 08$a3-030-10664-0 327 $aPreliminaries 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. 330 $aThis book presents the extensions to the quaternionic setting of some of the main approximation results in complex analysis. It also includes the main inequalities regarding the behavior of the derivatives of polynomials with quaternionic cofficients. With some few exceptions, all the material in this book belongs to recent research of the authors on the approximation of slice regular functions of a quaternionic variable. The book is addressed to researchers in various areas of mathematical analysis, in particular hypercomplex analysis, and approximation theory. It is accessible to graduate students and suitable for graduate courses in the above framework. 410 0$aFrontiers in Mathematics,$x1660-8054 606 $aFunctions of complex variables 606 $aApproximation theory 606 $aFunctions of a Complex Variable 606 $aApproximations and Expansions 615 0$aFunctions of complex variables. 615 0$aApproximation theory. 615 14$aFunctions of a Complex Variable. 615 24$aApproximations and Expansions. 676 $a511.4 700 $aGal$b Sorin G$4aut$4http://id.loc.gov/vocabulary/relators/aut$0474332 702 $aSabadini$b Irene$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910338252403321 996 $aQuaternionic Approximation$92534320 997 $aUNINA