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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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.
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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