Coherent pairs of linear functionals on the unit circle

DOI10.1016/j.jat.2008.03.003zbMath1149.42013OpenAlexW2149545759MaRDI QIDQ935087

M. N. Rebocho, Ana Foulquié Moreno, Amílcar Branquinho, Francisco Marcellán

Publication date: 31 July 2008

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10316/4581

zbMATH Keywords

orthogonal polynomialsdifferential equationsthree-term recurrence relationsmeasures on the unit circleHermitian functionals

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (10)

Sobolev orthogonal polynomials on the unit circle and coherent pairs of measures of the second kind ⋮ Pastro polynomials and Sobolev-type orthogonal polynomials on the unit circle based on a q-difference operator ⋮ Structure relations for orthogonal polynomials on the unit circle ⋮ Coherent pairs of moment functionals of the second kind and associated orthogonal polynomials and Sobolev orthogonal polynomials ⋮ Higher order coherent pairs ⋮ \((1,1)\)-coherent pairs on the unit circle ⋮ Orthogonal polynomials with respect to a family of Sobolev inner products on the unit circle ⋮ A class of Sobolev orthogonal polynomials on the unit circle and associated continuous dual Hahn polynomials: bounds, asymptotics and zeros ⋮ On differential equations for orthogonal polynomials on the unit circle ⋮ An extension of the coherent pair of measures of the second kind on the unit circle

Cites Work

• Orthogonal polynomials on the unit circle and their derivatives
• On polynomials orthogonal with respect to certain Sobolev inner products
• Determination of all coherent pairs
• Orthogonal polynomials and rational modifications of lebesgue measure on the unit circle. an inverse problem
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