A note on circular trace formulae
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- by Irina Nenciu PDF
- Proc. Amer. Math. Soc. 136 (2008), 2785-2792 Request permission
Abstract:
We find a finite CMV matrix whose eigenvalues coincide with the Dirichlet data of a circular periodic problem. As a consequence, we obtain circular analogues of the classical trace formulae for periodic Jacobi matrices.References
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Additional Information
- Irina Nenciu
- Affiliation: Courant Institute, 251 Mercer Street, New York, New York 10012
- Email: nenciu@cims.nyu.edu
- Received by editor(s): June 7, 2006
- Published electronically: April 8, 2008
- Additional Notes: The author wishes to thank Barry Simon for his encouragement and useful suggestions. This work was partly supported by NSF grant DMS-0111298.
- Communicated by: Carmen C. Chicone
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 2785-2792
- MSC (2000): Primary 42C05
- DOI: https://doi.org/10.1090/S0002-9939-08-09132-6
- MathSciNet review: 2399042