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Widom factors for the Hilbert norm

Widom factors for the Hilbert norm

Given a probability measure $\mu$ with non-polar compact support $K$, we define the $n$-th Widom factor $W^2_n(\mu)$ as the ratio of the Hilbert norm of the monic $n$-th orthogonal polynomial and the $n$-th power of the logarithmic capacity of $K$. If $\m