| 稳定相方法与一类振荡积分的渐近 |
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| 引用本文： | 孙旭明,石翠丽. 稳定相方法与一类振荡积分的渐近[J]. 佛山科学技术学院学报(自然科学版), 2012, 30(4): 23-28. DOI: 10.3969/j.issn.1008-0171.2012.04.006 |
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| 作者姓名： | 孙旭明 石翠丽 |
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| 作者单位： | 1.中原工学院理学院,河南郑州,450000;2.中原工学院理学院,河南郑州,450000 |
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| 摘 要： | 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。
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| 关 键 词： | 渐近展开 指数和 稳定相方法 振荡积分 稳定点 |
The stationary phase method and the asymptotic of oscillatory integrals |
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| SUN Xu-ming,SHI Cui-li. The stationary phase method and the asymptotic of oscillatory integrals[J]. Journal of Foshan University(Natural Science Edition), 2012, 30(4): 23-28. DOI: 10.3969/j.issn.1008-0171.2012.04.006 |
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| Authors: | SUN Xu-ming SHI Cui-li |
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| Affiliation: | (College of Science,Zhongyuan University of Technology,Zhengzhou 450000,China) |
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| Abstract: | 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. |
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| Keywords: | :asymptotic expansion exponential sum method of stationary phase oscillatory integrals stationary point |
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