L^p eigenfunction bounds for the Hermite operator

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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.
21 pages, 1 figure

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Analysis of PDEs, Classical Analysis and ODEs, 35S05; 35B60

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http://salesiana.dossiersoluciones.com/handle/123456789/70188

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0402261
 http://arxiv.org/abs/math/0402261

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arXiv