Type: Article
Publication Date: 2020-03-03
Citations: 1
DOI: https://doi.org/10.1093/imrn/rnaa058
Abstract In this paper we develop $L^{p}$ estimates for functions $u$, which are joint quasimodes of semiclassical pseudodifferential operators $p_{1}(x,hD)$ and $p_{2}(x,hD)$ whose characteristic sets meet with $k$th order contact, $k\geq{}1$. As part of the technical development we use Fourier integral operators to adapt a flat wavelet analysis to the curved level sets of $p_{1}(x,\xi )$.
| Action | Title | Year | Authors |
|---|---|---|---|
| + PDF Chat | Local $$L^p$$ norms of Schrödinger eigenfunctions on $${\mathbb {S}}^2$$ | 2021 |
Gabriel Rivière |