| Oscillatory integrals for phase functions having certain degenerate critical points |
| |
| 作者单位： | Department of |
| |
| 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.
|
| 收稿时间： | 26 June 2006 |
| 修稿时间： | 19 July 2007 |
Oscillatory integrals for phase functions having certain degenerate critical points |
| |
| Authors: | Jinmyong Kim and Zheng Quan |
| |
| Institution: | (1) Department of Mathematics, Huazhong University of Science and Technology, Wuhan, 430074, China;(2) Department of Mathematics, University of Kim Il Sung, DPR Korea |
| |
| Abstract: | 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. |
| |
| Keywords: | oscillatory integral phase function finite type |
| 本文献已被 CNKI SpringerLink 等数据库收录！ |
