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000868180 019__ $$a1099689355
000868180 020__ $$a9783030106669$$q(electronic book)
000868180 020__ $$a3030106667$$q(electronic book)
000868180 020__ $$z9783030106645
000868180 020__ $$z3030106640
000868180 0247_ $$a10.1007/978-3-030-10666-9$$2doi
000868180 035__ $$aSP(OCoLC)on1098041570
000868180 035__ $$aSP(OCoLC)1098041570$$z(OCoLC)1099689355
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000868180 049__ $$aISEA
000868180 050_4 $$aQA331.7
000868180 08204 $$a515/.9$$223
000868180 1001_ $$aGal, Sorin G.,$$d1953-$$eauthor.
000868180 24510 $$aQuaternionic approximation :$$bwith application to slice regular functions /$$cSorin G. Gal, Irene Sabadini.
000868180 264_1 $$aCham, Switzerland :$$bBirkhäuser,$$c2019.
000868180 300__ $$a1 online resource (x, 221 pages).
000868180 336__ $$atext$$btxt$$2rdacontent
000868180 337__ $$acomputer$$bc$$2rdamedia
000868180 338__ $$aonline resource$$bcr$$2rdacarrier
000868180 4901_ $$aFrontiers in mathematics,$$x1660-8046
000868180 504__ $$aIncludes bibliographical references and index.
000868180 5050_ $$aIntro; Preface; Contents; Chapter 1 Preliminaries on Hypercomplex Analysis; 1.1 An introduction to slice regular functions; 1.2 Slice regular functions, an alternative definition; 1.3 Further properties of slice regular functions; 1.4 Preliminary results on quaternionic polynomials; 1.5 Slice monogenic functions; 1.6 Other hypercomplex function theories; 1.7 A connection between theories of hyperholomorphy via the Fueter mapping theorem; Chapter 2 Approximation of Continuous Functions; 2.1 Weierstrass-Stone Type Results; 2.2 Carleman Type Results; 2.3 Notes on Müntz-Szász Type Results
000868180 5058_ $$aChapter 3 Approximation in Compact Balls by Bernstein and Convolution Type Operators3.1 Approximation by q-Bernstein Polynomials, q≥1, in Compact Balls; 3.2 Approximation in Compact Balls and in Cassini Cells; 3.2.1 Approximation by quaternionic polynomial convolutions; 3.2.2 Approximation by nonpolynomial quaternion convolutions; 3.2.3 Approximation by convolution operators of a paravector variable; Chapter 4 Approximation of Slice Regular Functions in Compact Sets; 4.1 Runge Type Results; 4.2 Mergelyan Type Results; 4.2.1 Riemann mappings for axially symmetric sets
000868180 5058_ $$a4.2.2 Approximation in some particular compact sets4.3 Arakelian Type Results; 4.4 Approximation by Faber Type Polynomials; 4.4.1 Biholomorphic bijections between complements of compact axially symmetric sets; 4.4.2 Quaternionic Faber polynomials and Faber series; 4.5 Approximation by Polynomials in Bergman Spaces; 4.5.1 Approximation in Bergman spaces of first kind; 4.5.2 Approximation in Bergman spaces of second kind; Chapter 5 Overconvergence, Equiconvergence and Universality Properties; 5.1 Overconvergence of Chebyshev and Legendre Polynomials; 5.2 Walsh Equiconvergence Type Results
000868180 5058_ $$a5.2.1 The interpolation problem5.2.2 Walsh equiconvergence theorem; 5.3 Universality Properties of Power Series and Entire Functions; 5.3.1 Almost universal power series; 5.3.2 Almost universal entire functions; Chapter 6 Inequalities for Quaternionic Polynomials; 6.1 The complex case; 6.2 Bernstein's Inequality; 6.3 Erdos-Lax's Inequality; 6.4 Turán's Inequality; 6.5 Notes on Turan Type Inequalities; Chapter 7 Approximation of nullsolutions of generalized Cauchy-Riemann operators; 7.1 Runge Type Results; 7.2 Appell systems; 7.3 Approximation in L2
000868180 5058_ $$a7.4 Approximation of axially monogenic functions7.5 Series expansions of monogenic functions; 7.6 Polynomial approximation of monogenic quasiconformal maps; Bibliography; Index
000868180 506__ $$aAccess limited to authorized users.
000868180 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed April 22, 2019).
000868180 650_0 $$aFunctions, Quaternion.
000868180 650_0 $$aApproximation theory.
000868180 7001_ $$aSabadini, Irene,$$d1965-$$eauthor.
000868180 77608 $$iPrint version:$$z3030106640$$z9783030106645$$w(OCoLC)1076547937
000868180 830_0 $$aFrontiers in mathematics.
000868180 852__ $$bebk
000868180 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-030-10666-9$$zOnline Access$$91397441.1
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