Equidistribution of Fekete Points on the Sphere |
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Authors: | Jordi Marzo Joaquim Ortega-Cerdà |
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Institution: | 1. Department of Mathematical Sciences, Norwegian University of Science and Technology, 7491, Trondheim, Norway 2. Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, Gran Via 585, 08007, Barcelona, Spain
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Abstract: | Fekete points are the points that maximize a Vandermonde-type determinant that appears in the polynomial Lagrange interpolation
formula. They are well-suited points for interpolation formulas and numerical integration. We prove the asymptotic equidistribution
of Fekete points on the sphere. The way we proceed is by showing their connection to other arrays of points, the so-called
Marcinkiewicz–Zygmund arrays and interpolating arrays, that have been studied recently. |
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Keywords: | |
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