Orthogonal Rational Functions - Bultheel, Adhemar (Katholieke Universiteit Leuven, Belgium) a Gonzalez-Vera, Pablo (Universidad de la Laguna, Tenerife) a Hendriksen, Erik (Universiteit van Amsterdam) a Njastad, Olav (Norges Teknisk-Naturvitenskapelige Universitet (Ntnu), Norway)

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. This theory has applications in theoretical real analysis, complex analysis, approximation theory, numerical analysis, and electrical engineering.