On a Conjecture of E.a. Rakhmanov
نویسنده
چکیده
It is shown that a conjecture of E.A. Rakhmanov is true concerning the zero distribution of orthogonal polynomials with respect to a measure having a discrete real support. We also discuss the case of extremal polynomials with respect to some discrete L p {norm, 0 < p 1, and give an extension to complex supports. Furthermore, we present properties of weighted Fekete points with respect to discrete complex sets, such as the weighted discrete transsnite diameter and a weighted discrete Bernstein{Walsh{like inequality.
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