• Corpus ID: 249191657

A Riemann-Hilbert approach to Fredholm determinants of Hankel composition operators: scalar-valued kernels

@inproceedings{Bothner2022ARA,
  title={A Riemann-Hilbert approach to Fredholm determinants of Hankel composition operators: scalar-valued kernels},
  author={Thomas Bothner},
  year={2022}
}
We characterize Fredholm determinants of a class of Hankel composition operators via matrix-valued Riemann-Hilbert problems, for additive and multiplicative compositions. The scalar-valued kernels of the underlying integral operators are not assumed to display the integrable structure known from the seminal work of Its, Izergin, Korepin and Slavnov \cite{IIKS}. Yet we are able to describe the corresponding Fredholm determinants through a naturally associated Riemann-Hilbert problem of Zakharov… 
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