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Orthogonal Rational Functions by Olav Njastad, Erik Hendriksen, Adhemar Bultheel, Pablo Gonzalez-Vera (Paperback, 2009)
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About this product
Product Information
This book generalises the classical theory of orthogonal polynomials on the complex unit circle, or on the real line to orthogonal rational functions whose poles are among a prescribed set of complex numbers. The first part treats the case where these poles are all outside the unit disk or in the lower half plane. Classical topics such as recurrence relations, numerical quadrature, interpolation properties, Favard theorems, convergence, asymptotics, and moment problems are generalised and treated in detail. The same topics are discussed for the different situation where the poles are located on the unit circle or on the extended real line. In the last chapter, several applications are mentioned including linear prediction, Pisarenko modelling, lossless inverse scattering, and network synthesis. This theory has many applications in theoretical real and complex analysis, approximation theory, numerical analysis, system theory, and in electrical engineering.Product Identifiers
PublisherCambridge University Press
ISBN-139780521115919
eBay Product ID (ePID)96058937
Product Key Features
Number of Pages424 Pages
Publication NameOrthogonal RATIONAL Functions
LanguageEnglish
SubjectMathematics
Publication Year2009
TypeTextbook
AuthorOlav Njastad, Erik Hendriksen, Adhemar Bultheel, Pablo Gonzalez-Vera
FormatPaperback
Dimensions
Item Height229 mm
Item Weight620 g
Item Width152 mm
Additional Product Features
Country/Region of ManufactureUnited Kingdom
Title_AuthorOlav Njastad, Erik Hendriksen, Adhemar Bultheel, Pablo Gonzalez-Vera
Series TitleCambridge Monographs on Applied and Computational Mathematics
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