Abstract
We obtain eigenfunction bounds for the harmonic oscillator $H = -\Delta + x^2$ in $\mathbb{R}^n$ and for other related operators, improving earlier results of Thangavelu and of Karadzhov. We also construct suitable counterexamples that show that our estimates are sharp.
Citation
Herbert Koch. Daniel Tataru. " eigenfunction bounds for the Hermite operator." Duke Math. J. 128 (2) 369 - 392, 1 June 2005. https://doi.org/10.1215/S0012-7094-04-12825-8
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