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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A note on circular trace formulae


Author: Irina Nenciu
Journal: Proc. Amer. Math. Soc. 136 (2008), 2785-2792
MSC (2000): Primary 42C05
Published electronically: April 8, 2008
MathSciNet review: 2399042
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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.


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Additional Information

Irina Nenciu
Affiliation: Courant Institute, 251 Mercer Street, New York, New York 10012
Email: nenciu@cims.nyu.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-08-09132-6
PII: S 0002-9939(08)09132-6
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
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.