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000856119 019__ $$a1038055216$$a1040651951$$a1042895512$$a1047683649$$a1055317095$$a1059250135
000856119 020__ $$a9783319782478$$q(electronic book)
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000856119 1001_ $$aGarcia, Stephan Ramon,$$eauthor.
000856119 24510 $$aFinite Blaschke products and their connections /$$cStephan Ramon Garcia, Javad Mashreghi, William T. Ross.
000856119 264_1 $$aCham, Switzerland :$$bSpringer,$$c[2018]
000856119 264_4 $$c©2018
000856119 300__ $$a1 online resource
000856119 336__ $$atext$$btxt$$2rdacontent
000856119 337__ $$acomputer$$bc$$2rdamedia
000856119 338__ $$aonline resource$$bcr$$2rdacarrier
000856119 347__ $$atext file$$bPDF$$2rda
000856119 504__ $$aIncludes bibliographical references and index.
000856119 506__ $$aAccess limited to authorized users.
000856119 520__ $$aThis monograph offers an introduction to finite Blaschke products and their connections to complex analysis, linear algebra, operator theory, matrix analysis, and other fields. Old favorites such as the Carathéodory approximation and the Pick interpolation theorems are featured, as are many topics that have never received a modern treatment, such as the Bohr radius and Ritt's theorem on decomposability. Deep connections to hyperbolic geometry are explored, as are the mapping properties, zeros, residues, and critical points of finite Blaschke products. In addition, model spaces, rational functions with real boundary values, spectral mapping properties of the numerical range, and the Darlington synthesis problem from electrical engineering are also covered. Topics are carefully discussed, and numerous examples and illustrations highlight crucial ideas. While thorough explanations allow the reader to appreciate the beauty of the subject, relevant exercises following each chapter improve technical fluency with the material. With much of the material previously scattered throughout mathematical history, this book presents a cohesive, comprehensive and modern exposition accessible to undergraduate students, graduate students, and researchers who have familiarity with complex analysis.
000856119 588__ $$aOnline resource; title from PDF title page (viewed May 30, 2018).
000856119 650_0 $$aFunctions of complex variables.
000856119 650_0 $$aBlaschke products.
000856119 650_0 $$aConnections (Mathematics)
000856119 7001_ $$aMashreghi, Javad,$$eauthor.
000856119 7001_ $$aRoss, William T.,$$eauthor.
000856119 77608 $$iPrint version:$$aGarcia, Stephan Ramon.$$tFinite Blaschke products and their connections.$$dCham, Switzerland : Springer, [2018]$$z3319782460$$z9783319782461$$w(OCoLC)1024270141
000856119 852__ $$bebk
000856119 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-78247-8$$zOnline Access$$91397441.1
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