Stationary phase type estimates for low symbol regularity
Analysis of PDEs
2020-02-12 v2 Spectral Theory
Abstract
The well-known stationary phase formula gives us a way to precisely compute oscillating integrals so long as the symbol is regular enough (in comparison to the large parameter controlling the oscillation). However in a number of applications we find ourselves with symbols that are not suitably regular. In this paper we obtain decay bounds for such oscillatory integrals.
Cite
@article{arxiv.1902.02409,
title = {Stationary phase type estimates for low symbol regularity},
author = {Melissa Tacy},
journal= {arXiv preprint arXiv:1902.02409},
year = {2020}
}