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Asymptotically extremal polynomials with respect to varying weights and application to Sobolev orthogonality

✍ Scribed by C. Díaz Mendoza; R. Orive; H. Pijeira Cabrera

Book ID
108178227
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
177 KB
Volume
346
Category
Article
ISSN
0022-247X

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📜 SIMILAR VOLUMES

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We consider asymptotics of orthogonal polynomials with respect to weights w(x)dx = e -Q(x) dx on the real line, where Q(x) = ∑ 2m k=0 q k x k , q 2m > 0, denotes a polynomial of even order with positive leading coefficient. The orthogonal polynomial problem is formulated as a Riemann-Hilbert problem

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✍ P. Deift; T. Kriecherbauer; K. T-R McLaughlin; S. Venakides; X. Zhou 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 475 KB 👁 1 views

We consider asymptotics for orthogonal polynomials with respect to varying exponential weights w n (x)dx = e -nV (x) dx on the line as n → ∞. The potentials V are assumed to be real analytic, with sufficient growth at infinity. The principle results concern Plancherel-Rotach-type asymptotics for the