Oscillatory integrals for phase functions having certain degenerate critical points

作者：Jinmyong Kim^*; Zheng Quan

来源：Science in China Series A-Mathematics, 2008, 51(3): 474-480.

DOI：10.1007/s11425-007-0135-z

• oscillatory integral
• phase function
• finite type

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.

• 出版日期2008-3
• 单位华中科技大学