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

Ruzhansky, M., Safarov, A. R., Khasanov, G. A.

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.

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