稳定相方法与一类振荡积分的渐近

The stationary phase method and the asymptotic of oscillatory integrals

主要对稳定相方法的一般结论进行了推广,给出了一类更一般的振荡积分的渐近情况。基于一般稳定相方法给出了积分的渐近条件,严格证明了主要定理,并讨论了此类积分渐近结果的重要应用。

In this paper we aim at generalizing the common conclusion on the method of stationary phase and demonstrating a commoner oscillatory integrals. Taking the common method of stationary phase as the base, we explore into the asymptotic conditions to integrals, prove the main theorems and discuss the important application of the asymptotic result of such integrals.