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Orthogonal rational functions

Author: Adhemar Bultheel
Publisher: Cambridge ; New York : Cambridge University Press, 1999.
Series: Cambridge monographs on applied and computational mathematics, 5.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"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."--Jacket.
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Adhemar Bultheel
ISBN: 0521650062 9780521650069
OCLC Number: 39534097
Description: xiv, 407 pages ; 24 cm.
Contents: 1. Preliminaries --
2. The fundamental spaces --
3. The kernel functions --
4. Recurrence and second kind functions --
5. Para-orthogonality and quadrature --
6. Interpolation --
7. Density of the rational functions --
8. Favard theorems --
9. Convergence --
10. Moment problems --
11. The boundary case --
12. Some applications.
Series Title: Cambridge monographs on applied and computational mathematics, 5.
Responsibility: Adhemar Bultheel [and others].
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Abstract:

The book generalises the classical theory of orthogonal polynomials to rational functions.  Read more...

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'The text is written with great clarity ... A book with four authors is not common, but these four ... are to be applauded for their achievement.' J. H. McCabe

 
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