On zeros of polynomials orthogonal over a convex domain

Details On zeros of polynomials orthogonal over a convex domain On zeros of polynomials orthogonal over a convex domain

2000-03-27

arxiv.org/abs/math/0003175v1

Mathematics

Complex Variables

24 pages; to appear in Constr. Approx

Scientific paper

We establish a discrepancy theorem for signed measures, with a given positive
part, which are supported on an arbitrary convex curve. As a main application,
we obtain a result concerning the distribution of zeros of polynomials
orthogonal on a convex domain.

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