Article ID Journal Published Year Pages File Type
4607052 Journal of Approximation Theory 2015 23 Pages PDF
Abstract

We explore the spectral theory of the orthogonal polynomials associated to the classical Cantor measure and similar singular continuous measures. We prove regularity in the sense of Stahl–Totik with polynomial bounds on the transfer matrix. We present numerical evidence that the Jacobi parameters for this problem are asymptotically almost periodic and discuss the possible meaning of the isospectral torus and the Szegő class in this context.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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