The support of the equilibrium measure in the presence of a monomial external field on

Authors:
S. B. Damelin and A. B. J. Kuijlaars

Journal:
Trans. Amer. Math. Soc. **351** (1999), 4561-4584

MSC (1991):
Primary 31A15; Secondary 41A10, 45E05.

Published electronically:
July 21, 1999

MathSciNet review:
1675178

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The support of the equilibrium measure associated with an external field of the form , , with and a positive integer is investigated. It is shown that the support consists of at most two intervals. This resolves a question of Deift, Kriecherbauer and McLaughlin.

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Additional Information

**S. B. Damelin**

Affiliation:
Department of Mathematics, University of the Witwatersrand, PO Wits 2050, South Africa

Email:
036sbd@cosmos.wits.ac.za

**A. B. J. Kuijlaars**

Affiliation:
Department of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200 B, B-3001 Leuven, Belgium

Email:
arno@wis.kuleuven.ac.be

DOI:
http://dx.doi.org/10.1090/S0002-9947-99-02509-X

Keywords:
Balayage,
equilibrium measure,
external field,
potential theory,
weighted polynomials

Received by editor(s):
June 22, 1997

Published electronically:
July 21, 1999

Additional Notes:
The research of the first author was begun while visiting the Mathematics Department at the Katholieke Universiteit Leuven, whose invitation to visit and hospitality are kindly acknowledged. This research was partly financed by FWO research project G.0278.97.

The second author was 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

Article copyright:
© Copyright 1999
American Mathematical Society