• Corpus ID: 239049447

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

  title={Strong Szeg\H\{o\} theorem on a Jordan curve},
  author={Kurt Johansson},
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… 
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