Asymptotic expansion of oscillatory integrals with singular phases
Classical Analysis and ODEs
2024-02-22 v1
Abstract
The purpose of this article is to describe the singularities of one-dimensional oscillatory integrals, whose phases have a certain singularity, in the form of an asymptotic expansion. In the case of the Laplace integral, an analogous result is also given.
Keywords
Cite
@article{arxiv.2209.05663,
title = {Asymptotic expansion of oscillatory integrals with singular phases},
author = {Joe Kamimoto and Hiromichi Mizuno},
journal= {arXiv preprint arXiv:2209.05663},
year = {2024}
}