Orthogonal Rational Functions - Couverture rigide

Bultheel, Adhemar; Gonzalez-Vera, Pablo; Hendriksen, Erik; Njastad, Olav

 
9780521650069: Orthogonal Rational Functions
Couverture rigide
ISBN 10 : 0521650062 ISBN 13 : 9780521650069
Editeur : Cambridge University Press, 1999

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

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.

Revue de presse

'The text is written with great clarity ... A book with four authors is not common, but these four ... are to be applauded for their achievement.' J. H. McCabe

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
1999
Langue
anglais
ISBN 10 
0521650062
ISBN 13 
9780521650069
Reliure
Relié
Nombre de pages
424
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
France

Autres éditions populaires du même titre

9780521115919: Orthogonal Rational Functions

Edition présentée

ISBN 10 :  0521115914 ISBN 13 :  9780521115919
Editeur : Cambridge University Press, 2009
Couverture souple