Abstract
We show that interpolation to a function, analytic on a compact set E in the complex plane, can yield maximal convergence only if a subsequence of the interpolation points converges to the equilibrium distribution on E in the weak sense. Furthermore, we will derive a converse theorem for the case when the measure associated with the interpolation points converges to a measure on E, which may be different from the equilibrium measure.
Citation
René Grothmann. "Distribution of interpolation points." Ark. Mat. 34 (1) 103 - 117, March 1996. https://doi.org/10.1007/BF02559510
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