• Corpus ID: 239049447

# Strong Szeg\H{o} theorem on a Jordan curve

@inproceedings{Johansson2021StrongST,
title={Strong Szeg\H\{o\} theorem on a Jordan curve},
author={Kurt Johansson},
year={2021}
}
Abstract. We consider certain determinants with respect to a sufficiently regular Jordan curve γ in the complex plane that generalize Toeplitz determinants which are obtained when the curve is the circle. This also corresponds to studying a planar Coulomb gas on the curve at inverse temperature β = 2. Under suitable assumptions on the curve we prove a strong Szegő type asymptotic formula as the size of the determinant grows. The resulting formula involves the Grunsky operator built from the…
1 Citations
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