L^p eigenfunction bounds for the Hermite operator

Details L^p eigenfunction bounds for the Hermite operator L^p eigenfunction bounds for the Hermite operator

2004-02-16

arxiv.org/abs/math/0402261v1

Mathematics

Analysis of PDEs

21 pages, 1 figure

Scientific paper

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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