Orthogonal Rational Functions.

Bultheel, Adhemar, Pablo Gonzalez-Vera Erik Hendriksen a. o.:

ISBN 10: 0521115914 / ISBN 13: 9780521115919

Edité par Cambridge, University Press, 2009

A propos de cet article

xiv, 407 Seiten. Leichte Lagerspuren, ansonsten sehr gut erhalten. 9780521115919 Sprache: Englisch Gewicht in Gramm: 1200. N° de réf. du vendeur 95632

Détails bibliographiques

Titre : Orthogonal Rational Functions.

Éditeur : Cambridge, University Press

Date d'édition : 2009

Reliure : Softcover/Paperback

Etat : Sehr gut

A propos de ce titre

Synopsis :

The book generalises the classical theory of orthogonal polynomials to rational functions.

Présentation de l'éditeur:

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.