Orthogonal Rational Functions: 5 (Cambridge Monographs on Applied and Computational Mathematics, Series Number 5)

Bultheel, Adhemar

ISBN 10: 0521115914 / ISBN 13: 9780521115919

Published by Cambridge University Press, 2009

About this Item

The book generalises the classical theory of orthogonal polynomials to rational functions. Series: Cambridge Monographs on Applied and Computational Mathematics. Num Pages: 424 pages, 18 b/w illus. BIC Classification: PBW. Category: (P) Professional & Vocational. Dimension: 228 x 154 x 27. Weight in Grams: 658. . 2009. 1st Edition. paperback. . . . . Books ship from the US and Ireland.

Seller Inventory # V9780521115919

Bibliographic Details

• Title: Orthogonal Rational Functions: 5 (Cambridge Monographs on Applied and Computational Mathematics, Series Number 5)
• Publisher: Cambridge University Press
• Publication Date: 2009
• Language: English
• ISBN 10: 0521115914
• ISBN 13: 9780521115919
• Binding: Soft cover
• Condition: New

About this title

Synopsis

This volume generalizes 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 generalized and treated in detail. The same topics are discussed for a 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 modeling, lossless inverse scattering, and network synthesis. This theory has many applications both in theoretical real and complex analysis, approximation theory, numerical analysis, system theory, and electrical engineering.

Book Description

This book generalizes 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 many applications both in theoretical real and complex analysis, approximation theory, numerical analysis, system theory, and in electrical engineering.