L^p eigenfunction bounds for the Hermite operator
classification
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math.CA
keywords
boundseigenfunctionconstructcounterexamplesearlierestimatesharmonichermite
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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.
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