摘要
The paper is concerned with oscillatory integrals for phase functions having certain de- generate critical points. Under a finite type condition of phase functions we show the estimate of oscillatory integrals of the first kind. The decay of the oscillatory integral depends on indices of the finite type, the spatial dimension and the symbol.
The paper is concerned with oscillatory integrals for phase functions having certain degenerate critical points. Under a finite type condition of phase functions we show the estimate of oscillatory integrals of the first kind. The decay of the oscillatory integral depends on indices of the finite type, the spatial dimension and the symbol.
基金
the National Science Foundation of China (Grant No. 10671079)
the Key Project of Chinese Ministry of Education (Grant No. 104126), TRAPOYT
the Postdoctoral Science Foundation (Grant No. 20060400851)
