Orthogonal Rational Functions

by A. Bultheel, Erik Hendriksen, Olav Njastad, et al.

Book Overview

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,...

• Format: Hardcover
• Language: English
• ISBN: 0521650062
• ISBN13: 9780521650069
• Release Date: February 1999
• Publisher: Cambridge University Press
• Length: 424 Pages
• Weight: 1.64 lbs.
• Dimensions: 1.3" x 6.3" x 9.3"