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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Schur-Agler class rational inner functions on the tridisk
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by Greg Knese PDF
Proc. Amer. Math. Soc. 139 (2011), 4063-4072 Request permission

Abstract:

We prove two results with regard to rational inner functions in the Schur-Agler class of the tridisk. Every rational inner function of degree $(n,1,1)$ is in the Schur-Agler class, and every rational inner function of degree $(n,m,1)$ is in the Schur-Agler class after multiplication by a monomial of sufficiently high degree.
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Additional Information
  • Greg Knese
  • Affiliation: Department of Mathematics, Box 870350, University of Alabama, Tuscaloosa, Alabama 35487-0350
  • MR Author ID: 813491
  • Email: geknese@bama.ua.edu
  • Received by editor(s): October 5, 2010
  • Published electronically: March 30, 2011
  • Additional Notes: This research was supported by NSF grant DMS-1048775
  • Communicated by: Richard Rochberg
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 139 (2011), 4063-4072
  • MSC (2010): Primary 47A57; Secondary 42B05
  • DOI: https://doi.org/10.1090/S0002-9939-2011-10975-4
  • MathSciNet review: 2823051