Equilibrium problems associated with fast decreasing polynomials
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- by A. B. J. Kuijlaars and P. D. Dragnev PDF
- Proc. Amer. Math. Soc. 127 (1999), 1065-1074 Request permission
Abstract:
The determination of the support of the equilibrium measure in the presence of an external field is important in the theory of weighted polynomials on the real line. Here we present a general condition guaranteeing that the support consists of at most two intervals. Applying this to the external fields associated with fast decreasing polynomials, we extend previous results of Totik and Kuijlaars-Van Assche. In the proof we use the iterated balayage algorithm which was first studied by Dragnev.References
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Additional Information
- A. B. J. Kuijlaars
- Affiliation: Department of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200 B, B-3001 Leuven, Belgium
- MR Author ID: 341696
- Email: arno@wis.kuleuven.ac.be
- P. D. Dragnev
- Affiliation: Department of Mathematics, University of South Florida, Tampa, Florida 33620
- Address at time of publication: Department of Mathematical Sciences, Indiana University Purdue University Fort Wayne, Fort Wayne, Indiana 46805
- MR Author ID: 623970
- Email: dragnevp@ipfw.edu
- Received by editor(s): December 12, 1996
- Received by editor(s) in revised form: July 16, 1997
- Additional Notes: The first author is supported by a postdoctoral fellowship of the Belgian National Fund for Scientific Research, Scientific Research Network nr WO.011.96N: Fundamental Methods and Techniques in Mathematics. The research of the second author is in partial fulfillment of the Ph.D. requirements at the University of South Florida.
- Communicated by: J. Marshall Ash
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 1065-1074
- MSC (1991): Primary 41A10, 31A15
- DOI: https://doi.org/10.1090/S0002-9939-99-04590-6
- MathSciNet review: 1469419