Asymptotics for Christoffel Functions with Varying Weights
β Scribed by Vilmos Totik
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 187 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0196-8858
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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 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
## Abstract We present reiteration formulae with limiting values __ΞΈ__ = 0 and __ΞΈ__ = 1 for a real interpolation method involving slowly varying functions. Applications to the LorentzβKaramata spaces, the Fourier transform and the Riesz potential are given. In particular, our results yield improve