On the local asymptotics of Faber polynomials
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- by Igor E. Pritsker PDF
- Proc. Amer. Math. Soc. 127 (1999), 2953-2960 Request permission
Abstract:
We study a local asymptotics of the (generalized) Faber polynomials at the boundary of the associated domain, under certain mild smoothness conditions on the weight function and geometric conditions on the boundary. The main result exhibits how this asymptotics depends on the corners at the boundary. Its proof is based on the continuity properties of the Visser-Ostrowski quotient at the corners.References
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Additional Information
- Igor E. Pritsker
- MR Author ID: 319712
- Email: iep@po.cwru.edu
- Received by editor(s): November 4, 1997
- Received by editor(s) in revised form: December 31, 1997
- Published electronically: April 23, 1999
- Additional Notes: Research supported in part by the National Science Foundation grant DMS-9707359.
- Communicated by: Albert Baernstein II
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 2953-2960
- MSC (1991): Primary 30C10, 30E15; Secondary 30E10, 30C35
- DOI: https://doi.org/10.1090/S0002-9939-99-04891-1
- MathSciNet review: 1605937
Dedicated: Dedicated to Professor D. Gaier on the occasion of his seventieth birthday.