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Proceedings of the American Mathematical Society

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Uniform localization is always uniform


Author: Rui Han
Journal: Proc. Amer. Math. Soc. 144 (2016), 609-612
MSC (2010): Primary 47B36; Secondary 81Q10
DOI: https://doi.org/10.1090/proc12713
Published electronically: May 28, 2015
MathSciNet review: 3430838
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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
Email: rhan2@uci.edu

DOI: https://doi.org/10.1090/proc12713
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
Article copyright: © Copyright 2015 American Mathematical Society

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