Uniform estimates for oscillatory integrals with homogeneous polynomial phases of degree 4
Mathematical Physics
2022-05-13 v1 math.MP
Abstract
In this paper we consider the uniform estimates for oscillatory integrals with a two-order homogeneous polynomial phase. The estimate is sharp and the result is an analogue of the more general theorem of V. N. Karpushkin \cite{Karpushkin1983} for sufficiently smooth functions.
Keywords
Cite
@article{arxiv.2205.06224,
title = {Uniform estimates for oscillatory integrals with homogeneous polynomial phases of degree 4},
author = {M. Ruzhansky and A. R. Safarov and G. A. Khasanov},
journal= {arXiv preprint arXiv:2205.06224},
year = {2022}
}