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L^p eigenfunction bounds for the Hermite operator

Herbert Koch·Daniel Tataru
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Abstract

We obtain L^p eigenfunction bounds for the harmonic oscillator in R^n and for other related operators, improving earlier results of Thangavelu and Karadzhov. We also construct suitable counterexamples which show that our estimates are sharp.

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Herbert Koch, Daniel Tataru. 2004-02-16. L^p eigenfunction bounds for the Hermite operator. https://arxiv.org/abs/math/0402261

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