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Orthogonal Rational Functions

Name: Orthogonal Rational Functions
Brand: Cambridge University Press
SKU: 02039178
Price: 185.09 EUR
Availability: InStock
Author: Adhemar BultheelPablo Gonzalez-VeraErik HendriksenOlav Njastad
ISBN: 9780521650069

Adhemar BultheelPablo Gonzalez-VeraErik HendriksenOlav Njastad

Lingua

Inglese

Libro Rigido

Codice Libristo: 02039178

Casa editrice Cambridge University Press, febbraio 1999

This book generalises the classical theory of orthogonal polynomials on the complex unit circle, or... Descrizione completa

Codice Libristo: 02039178

453 b

185.09 €

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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.