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Weighted Polynomial Approximation for Weights with Slowly Varying Extremal Density

✍ Scribed by Vilmos Totik

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
215 KB
Volume
99
Category
Article
ISSN
0021-9045

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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 β†’ ∞. The potentials V are assumed to be real analytic, with sufficient growth at infinity. The principle results concern Plancherel-Rotach-type asymptotics for the