Boundary asymptotics for orthogonal rational functions on the unit circle
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Publication:1591315
DOI10.1023/A:1006409205633zbMath0969.42012MaRDI QIDQ1591315
Adhemar Bultheel, Patrick Van Gucht
Publication date: 1 October 2001
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Trigonometric approximation (42A10) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)
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Modified Moments and Orthogonal Rational Functions ⋮ CHRISTOFFEL FUNCTIONS AND UNIVERSALITY LIMITS FOR ORTHOGONAL RATIONAL FUNCTIONS ⋮ Baxter's difference systems and orthogonal rational functions ⋮ Orthogonal basis functions in discrete least-squares rational approximation. ⋮ On computing rational Gauss-Chebyshev quadrature formulas ⋮ Bernstein equiconvergence and Fejér-type theorems for general rational Fourier series ⋮ Rational Szegő quadratures associated with Chebyshev weight functions ⋮ State space representation for arbitrary orthogonal rational functions ⋮ Rational Gauss-Chebyshev quadrature formulas for complex poles outside $[-1,1$] ⋮ Orthogonal rational functions and rational modifications of a measure on the unit circle ⋮ Computing rational Gauss-Chebyshev quadrature formulas with complex poles: The algorithm
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