Applied

Orthogonal Rational Functions

Name: Orthogonal Rational Functions
Brand: Cambridge University Press
SKU: 9780521650069
Price: 17280.00 INR
Availability: InStock
ISBN: 9780521650069

ORTHOGONAL RATIONAL FUNCTIONS

Contributor(s): Bultheel, Adhemar Author , Bultheel, A. Author , Gonzalez-Vera, P. Author Format: Hardback

Hardback · ISBN 9780521650069

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Key Specifications

ISBN	9780521650069
Subtitle	ORTHOGONAL RATIONAL FUNCTIONS
Publisher	Cambridge University Press
Publication date	April 1999
Language	English
MRP	£137.00 GBP
Page count	424
Item weight	174 g

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.

Orthogonal Rational Functions

Key Specifications

Bultheel, Adhemar Author

Bultheel, A. Author

Gonzalez-Vera, P. Author

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