Name: Orthogonal Rational Functions Hardback (Cambridge Monographs on Applied and Computational Mathematics) (en Inglés)
SKU: 19220195
Price: 231.97 USD
Availability: InStock
Author: Bultheel; Gonzalez-Vera; Hendriksen

portada Orthogonal Rational Functions Hardback (Cambridge Monographs on Applied and Computational Mathematics) (en Inglés)

Orthogonal Rational Functions Hardback (Cambridge Monographs on Applied and Computational Mathematics) (en Inglés)

Formato

Libro Físico

Editorial

Cambridge University Press

Autor

Bultheel; Gonzalez-Vera; Hendriksen

Año

1999

Idioma

Inglés

N° páginas

424

Encuadernación

Tapa Dura

ISBN

0521650062

ISBN13

9780521650069

N° edición

Categorías

Matemáticas aplicadas

Orthogonal Rational Functions Hardback (Cambridge Monographs on Applied and Computational Mathematics) (en Inglés)

Bultheel; Gonzalez-Vera; Hendriksen (Autor) · Cambridge University Press · Tapa Dura

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Reseña del libro "Orthogonal Rational Functions Hardback (Cambridge Monographs on Applied and Computational Mathematics) (en Inglés)"

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.