Orthogonal Rational Functions (Paperback)

This volume generalizes 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 generalized and treated in detail. The same topics are discussed for a 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 modeling, lossless inverse scattering, and network synthesis. This theory has many applications both in theoretical real and complex analysis, approximation theory, numerical analysis, system theory, and electrical engineering.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Cambridge Monographs on Applied and Computational Mathematics
Release date:	July 2009
First published:	March 2009
Authors:	Adhemar Bultheel • Pablo Gonzalez-Vera • Erik Hendriksen • Olav Njastad
Dimensions:	229 x 152 x 24mm (L x W x T)
Format:	Paperback - Trade
Pages:	424
ISBN-13:	978-0-521-11591-9
Categories:	Books > Science & Mathematics > Mathematics > Applied mathematics > General Promotions
LSN:	0-521-11591-4
Barcode:	9780521115919

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