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Published 2013 | Submitted
Book Section - Chapter Open

Finite gap Jacobi matrices: A review

Abstract

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!

Additional Information

© 2013 American Mathematical Society. The first and third authors would like to thank Caltech for its hospitality where this manuscript was written. The first author was supported in part by a Steno Research Grant (09-064947) from the Danish Research Council for Nature and Universe. The second author was supported in part by NSF grant DMS-0968856. The third author was supported in part by NSF grant DMS-0965411.

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