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

 
9780521650069: Orthogonal Rational Functions Hardback: 5 (Cambridge Monographs on Applied and Computational Mathematics, Series Number 5)
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This book generalises 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 applications in theoretical real analysis, complex analysis, approximation theory, numerical analysis, and electrical engineering.

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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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Orthogonal Rational Functions Hb editado por Cambridge

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  • VerlagCambridge University Press
  • Erscheinungsdatum1999
  • ISBN 10 0521650062
  • ISBN 13 9780521650069
  • EinbandTapa dura
  • Anzahl der Seiten424

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9780521115919: Orthogonal Rational Functions: 5 (Cambridge Monographs on Applied and Computational Mathematics, Series Number 5)

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ISBN 10:  ISBN 13:  9780521115919
Verlag: Cambridge University Press, 2009
Softcover

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ISBN 10: 0521650062 ISBN 13: 9780521650069
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Buchbeschreibung Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Artikel-Nr. 9780521650069

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