L^p eigenfunction bounds for the Hermite operator
By Herbert Koch, D. Tataru. 2004
139 citations recorded by the source corpus.
Author(s): Koch, Herbert; Tataru, Daniel | 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.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/49a80a5dd9d03b592c22ac4fafb1758fa2c64ae1
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Lixin Yan
- El-Maati Ouhabaz
- Adam S. Sikora
- Peng Chen
- Andrew Hassell
- C. Guillarmou
- Xuan Thinh Duong
- Dachun Yang
In Mathematical Physics
- Lixin Yan
- Adam S. Sikora
- El-Maati Ouhabaz
- Peng Chen
- Andrew Hassell
- C. Guillarmou
- Xuan Thinh Duong
- Dachun Yang
Citations in the corpus
- Restriction estimates, sharp spectral multipliers and endpoint estimates for Bochner-Riesz means (2012, background): “As in [39] we can also consider Schrödinger operatorsL = −∆ + V with a positive potential V which satisfies the following condition (10.”
- Restriction and spectral multiplier theorems on asymptotically conic manifolds (2010, background): “The last case of a sharp multiplier theorem known to us, although with a slightly different range of p, is for the harmonic oscillator; see [Karadzhov 1994; Koch and Tataru 2005; Thangavelu 1993].”