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Published February 2009 | public
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Regularity and the Cesàro–Nevai class

Simon, Barry ORCID icon
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Abstract

We consider OPRL and OPUC with measures regular in the sense of Ullman–Stahl–Totik and prove consequences on the Jacobi parameters or Verblunsky coefficients. For example, regularity on [−2,2] implies lim_(N→∞)N^(-1)[∑_(n=1)^N(a_n-1)^2 + b_n^2] = 0.

Additional Information

© 2008 Elsevier Inc. Received 23 October 2007; revised 28 February 2008; accepted 10 April 2008. Communicated by Leonid Golinskii. Available online 31 October 2008. The research was supported in part by NSF grants DMS-0140592 and DMS-0652919.

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August 21, 2023
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October 19, 2023