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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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Uniform localization is always uniform
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by Rui Han PDF
Proc. Amer. Math. Soc. 144 (2016), 609-612 Request permission

Abstract:

In this note we show that if a family of ergodic Schrödinger operators on $l^2(\mathbb {Z}^\gamma )$ with continuous potentials have uniformly localized eigenfunctions, then these eigenfunctions must be uniformly localized in a homogeneous sense.
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Additional Information
  • Rui Han
  • Affiliation: Department of Mathematics, University of California, Irvine, Irvine, California 92697
  • MR Author ID: 1138295
  • Email: rhan2@uci.edu
  • Received by editor(s): October 8, 2014
  • Received by editor(s) in revised form: January 5, 2015
  • Published electronically: May 28, 2015
  • Additional Notes: This work was partially supported by DMS-1401204.
  • Communicated by: Michael Hitrik
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 609-612
  • MSC (2010): Primary 47B36; Secondary 81Q10
  • DOI: https://doi.org/10.1090/proc12713
  • MathSciNet review: 3430838