$L^{p}$ estimates for joint quasimodes of semiclassical pseudodifferential operators
Analysis of PDEs
2023-01-06 v3 Spectral Theory
Abstract
We develop a set of estimates for functions that are a joint quasimodes (approximate eigenfunctions) of semiclassical pseudodifferential operators . This work extends Sarnak and Marshall's work on symmetric space to cover a more general class of manifolds/operators.
Keywords
Cite
@article{arxiv.1804.02788,
title = {$L^{p}$ estimates for joint quasimodes of semiclassical pseudodifferential operators},
author = {Melissa Tacy},
journal= {arXiv preprint arXiv:1804.02788},
year = {2023}
}
Comments
Major theorems remain the same as V2. Curvature conditions has been relaxed (see the discussion in Section 2). This is the final version