Orthogonal Rational Functions (Cambridge Monographs on Applied and Computational Mathematics, Series Number 5)
Language: English
Published by Cambridge University Press, 2009
- Softcover
- New

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- Title
- Orthogonal Rational Functions (Cambridge Monographs on Applied and Computational Mathematics, Series Number 5)
- Author
- Bultheel, Adhemar; Gonzalez-Vera, Pablo; Hendriksen, Erik; Njastad, Olav
- Publisher
- Cambridge University Press
- Publication year
- 2009
- Condition
- New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 0521115914
- ISBN 13
- 9780521115919
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.
"Synopsis" may belong to another edition of this title.
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.
"About the title" may belong to another edition of this title.
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