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. 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 generalised and treated in detail. The same topics ...
Read More
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. 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 generalised and treated in detail. The same topics are discussed for the 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 modelling, lossless inverse scattering, and network synthesis. This theory has many applications in theoretical real and complex analysis, approximation theory, numerical analysis, system theory, and in electrical engineering.
Read Less
Add this copy of Orthogonal Rational Functions to cart. $36.53, new condition, Sold by Ria Christie Books rated 5.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 2009 by Cambridge University Press.
Add this copy of Orthogonal Rational Functions to cart. $114.87, new condition, Sold by Ria Christie Books rated 5.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 1999 by Cambridge University Press.
Add this copy of Orthogonal Rational Functions to cart. $48.85, new condition, Sold by Booksplease rated 3.0 out of 5 stars, ships from Southport, MERSEYSIDE, UNITED KINGDOM, published 2009 by Cambridge University Press.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. Trade paperback (US). Contains: Line drawings. Cambridge Monographs on Applied and Computational Mathematics . 18 b/w illus. Intended for professional and scholarly audience.
Add this copy of Orthogonal Rational Functions to cart. $150.59, new condition, Sold by Booksplease rated 3.0 out of 5 stars, ships from Southport, MERSEYSIDE, UNITED KINGDOM, published 1999 by Cambridge University Press.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. Contains: Line drawings. Cambridge Monographs on Applied and Computational Mathematics . 18 b/w illus. Intended for professional and scholarly audience.
Add this copy of Orthogonal Rational Functions to cart. $56.45, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2009 by Cambridge University Press.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. Print on demand Trade paperback (US). Contains: Line drawings. Cambridge Monographs on Applied and Computational Mathematics . 18 b/w illus. Intended for professional and scholarly audience.
Add this copy of Orthogonal Rational Functions (Cambridge Monographs on to cart. $85.76, new condition, Sold by Just one more Chapter rated 5.0 out of 5 stars, ships from Miramar, FL, UNITED STATES, published 1999 by Cambridge University Press.
Add this copy of Orthogonal Rational Functions to cart. $155.01, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 1999 by Cambridge University Press.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. Contains: Line drawings. Cambridge Monographs on Applied and Computational Mathematics . 18 b/w illus. Intended for professional and scholarly audience.
Add this copy of Orthogonal Rational Functions (Cambridge Monographs on to cart. $64.45, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 1999 by Cambridge University Press.
