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Uniform localization is always uniform

Published 28 Jul 2016 in math.SP, math-ph, and math.MP | (1607.08566v1)

Abstract: In this note we show that if a family of ergodic Schr\"odinger operators on $l2({\Bbb Z}\gamma)$ with continuous potentials have uniformly localized eigenfunctions then these eigenfunctions must be uniformly localized in a homogeneous sense.

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