## The asymptotic distribution of general interpolation arrays for exponential weights

S. B. Damelin

### Abstract

We study the asymptotic distribution of general interpolation arrays for a large class of even exponential weights on the line and $(-1,1)$. Our proofs rely on deep properties of logarithmic potentials. We conclude with some open problems.

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### Key words

asymptotic distribution, Freud weight, Erdős weight, exponential weight, interpolation, Lebesgue constant, logarithmic potential, Pollaczek weight, sup norm, weighted approximation.

### AMS subject classifications

42C15, 42C05, 65D05.