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.References
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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