Generalized Szegö theory in frequency analysis

DOI10.1006/jmaa.1997.5233zbMath0872.42006OpenAlexW2009810642MaRDI QIDQ1353573

Haakon Waadeland, Olav Njåstad

Publication date: 29 April 1997

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5233

zbMATH Keywords

orthogonal rational functionsfrequency analysisSzegö theoryasymptotic behavior of the zeros

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Application of orthogonal and other special functions (94A11)

Related Items (11)

Survey article: continued fractions associated with Wiener-Levinson filters, frequency analysis, moment theory and polynomials orthogonal on the unit circle ⋮ Convergence of PPC-continued fraction approximants in frequency analysis ⋮ Para-orthogonal polynomials in frequency analysis ⋮ Univalent functions and frequency analysis ⋮ Weak convergence and boundedness properties of measures in frequency analysis ⋮ Asymptotic properties of zeros of orthogonal rational functions ⋮ Modification of a method using Szegő polynomials in frequency analysis: The \(V\)-process ⋮ Zeros of Sobolev orthogonal polynomials on the unit circle ⋮ OPUC, CMV matrices and perturbations of measures supported on the unit circle ⋮ Rational functions with a general distribution of poles on the real line orthogonal with respect to varying exponential weights. I ⋮ On measures in frequency analysis

Cites Work

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• Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
• On the role of the Nevanlinna–Pick problem in circuit and system theory
• Application of Szegö Polynomials to Frequency Analysis
• Asymptotics for Orthogonal Rational Functions
• Strong and Weak Convergence of Rational Functions Orthogonal on the Circle

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