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), 45614584
MSC (1991):
Primary 31A15; Secondary 41A10, 45E05.
Published electronically:
July 21, 1999
MathSciNet review:
1675178
Fulltext PDF Free Access
Abstract 
References 
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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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 2.
 S. B. Damelin and D. S. Lubinsky, Jackson theorems for Erd\H{o}s weights in (), J. Approx. Theory 94 (1998), 333382. CMP 98:17
 3.
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 P. Deift and K. TR McLaughlin, A continuum limit of the Toda lattice, Mem. Amer. Math. Soc. 624 (1998). MR 98h:58076
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 Z. Ditzian and D. S. Lubinsky, Jackson and smoothness theorems for Freud weights in (), Constr. Approx. 13 (1997), 99152. MR 97k:41028
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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, B3001 Leuven, Belgium
Email:
arno@wis.kuleuven.ac.be
DOI:
http://dx.doi.org/10.1090/S000299479902509X
PII:
S 00029947(99)02509X
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
