论文标题
具有4度的均相多项式阶段的振荡积分的均匀估计值
Uniform estimates for oscillatory integrals with homogeneous polynomial phases of degree 4
论文作者
论文摘要
在本文中,我们考虑了具有两阶均质多项式相的振荡积分的均匀估计值。估计值很清晰,结果是V. N. Karpushkin \ cite {karpushkin1983}的更通用定理的类似物。
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.