Orthogonal Rational Functions - Couverture souple

Bultheel, Adhemar

Couverture souple

ISBN 10 : 0521115914 ISBN 13 : 9780521115919

Editeur : Cambridge University Press, 2009

Synopsis

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

A propos du livre

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

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2009
• Langue: anglais
• ISBN 10: 0521115914
• ISBN 13: 9780521115919
• Reliure: Broché
• Numéro d'édition: 1
• Nombre de pages: 424
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France