Orthogonal Trigonometric Polynomials: Riemann-Hilbert Analysis and Relations with OPUC

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dc.creatorDu, Jinyuan
dc.creatorDu, Zhihua
dc.date2008-05-17
dc.date.accessioned2026-07-07T09:39:34Z
dc.date.available2026-07-07T09:39:34Z
dc.descriptionIn this paper, we study the theory of orthogonal trigonometric polynomials (OTP). We obtain asymptotics of OTP with positive and analytic weight functions by Riemann-Hilbert approach and find they have relations with orthogonal polynomials on the unit circle (OPUC). By the relations and the theory of OPUC, we also get four-terms recurrent formulae, Christoffel-Darboux formula and some properties of zeros for orthogonal trigonometric polynomials.
dc.description38 pages
dc.identifierhttps://arxiv.org/abs/0805.2640
dc.identifierhttp://arxiv.org/abs/0805.2640
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161221
dc.subjectMathematical Physics
dc.subjectComplex Variables
dc.subject42A05 (Primary); 42C05 (Secondary)
dc.titleOrthogonal Trigonometric Polynomials: Riemann-Hilbert Analysis and Relations with OPUC
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