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Asymptotics of orthonormal polynomials in the presence of a denumerable set of mass points
Author(s):
Franz
Peherstorfer;
Peter
Yuditskii
Journal:
Proc. Amer. Math. Soc.
129
(2001),
3213-3220.
MSC (2000):
Primary 42C05, 30D50
Posted:
May 21, 2001
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Abstract:
Let  be a positive measure whose support is an interval  plus a denumerable set of mass points which accumulate at the boundary points of  only. Under the assumptions that the mass points satisfy Blaschke's condition and that the absolutely continuous part of  satisfies Szegö's condition, asymptotics for the orthonormal polynomials on and off the support are given. So far asymptotics were only available if the set of mass points is finite.
References:
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Additional Information:
Franz
Peherstorfer
Affiliation:
Institute for Analysis and Computational Mathematics, Johannes Kepler University of Linz, A--4040 Linz, Austria
Email:
Franz.Peherstorfer@jk.uni-linz.ac.at
Peter
Yuditskii
Affiliation:
Mathematical Division, Institute for Low Temperature Physics, Kharkov, Lenin's pr. 47, 310164, Ukraine
Address at time of publication:
Department of Mathematics, Michigan State University, East Lansing, Michigan 48824
Email:
yuditskii@ilt.kharkov.ua, yuditski@math.msu.edu
DOI:
10.1090/S0002-9939-01-06205-0
PII:
S 0002-9939(01)06205-0
Received by editor(s):
February 15, 2000
Posted:
May 21, 2001
Additional Notes:
This work was supported by the Austrian Founds zur Förderung der wissenschaftlichen Forschung, project--number P12985--TEC
Communicated by:
Juha M. Heinonen
Copyright of article:
Copyright
2001,
American Mathematical Society
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