On oscillatory integrals associated to phase functions with degenerate singular points
Classical Analysis and ODEs
2020-09-22 v1 Mathematical Physics
Differential Geometry
math.MP
Abstract
In this note, by using the result in one variable, we obtain asymptotic expansions of oscillatory integrals for certain multivariable phase functions with {\bf degenerate} singular points. Moreover by using this result, we have asymptotic expansions of oscillatory integrals with phase function of type , , -function germs.
Keywords
Cite
@article{arxiv.2009.09620,
title = {On oscillatory integrals associated to phase functions with degenerate singular points},
author = {Toshio Nagano and Naoya Miyazaki},
journal= {arXiv preprint arXiv:2009.09620},
year = {2020}
}