Finite Gap Jacobi Matrices: A Review

@article{Christiansen2013FiniteGJ,
  title={Finite Gap Jacobi Matrices: A Review},
  author={Jacob S. Christiansen and Barry Simon and Maxim Zinchenko},
  journal={arXiv: Spectral Theory},
  year={2013}
}
Perhaps the most common theme in Fritz Gesztesy's broad opus is the study of problems with periodic or almost periodic finite gap differential and difference equations, especially those connected to integrable systems. The present paper reviews recent progress in the understanding of finite gap Jacobi matrices and their perturbations. We'd like to acknowledge our debt to Fritz as a collaborator and friend. We hope Fritz enjoys this birthday bouquet! 
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