Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Local asymptotic distribution of zeros of orthogonal polynomials


Authors: Vilmos Totik and Joseph L. Ullman
Journal: Trans. Amer. Math. Soc. 341 (1994), 881-894
MSC: Primary 42C05; Secondary 26C10
MathSciNet review: 1150019
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Converse results, which state a relation (inequality) for measures from that on their logarithmic potentials, are applied to local density of zeros of orthogonal polynomials when the measure of orthogonality is a general one with compact support. It will be shown that if the measure is sufficiently thick on a part of its support, then on that part the density of the zeros will be at least as large as the equilibrium measure of the support. A corresponding upper estimate on the distribution of the zeros will also be proved. All of our estimates are sharp, and they localize several well-known results.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 42C05, 26C10

Retrieve articles in all journals with MSC: 42C05, 26C10


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1994-1150019-2
PII: S 0002-9947(1994)1150019-2
Article copyright: © Copyright 1994 American Mathematical Society