On the relationship between the semiclassical and standard pseudodifferential algebras
Analysis of PDEs
2025-08-28 v1
Abstract
In this short paper we discuss the precise relationship between the semiclassical and standard pseudodifferential algebras and explore implications such as for large spectral parameter elliptic estimates, even in the case of pseudodifferential spectral familes. We also explain the connection between second microlocalization and this relationship.
Keywords
Cite
@article{arxiv.2508.20081,
title = {On the relationship between the semiclassical and standard pseudodifferential algebras},
author = {András Vasy},
journal= {arXiv preprint arXiv:2508.20081},
year = {2025}
}
Comments
12 pages, 1 figure; to appear in Contemporary Mathematics