Asymptotic analysis of oscillatory integrals via the Newton polyhedra of the phase and the amplitude

Koji Cho; Joe Kamimoto; Toshihiro Nose

首页> 外文期刊>Journal of the Mathematical Society of Japan >Asymptotic analysis of oscillatory integrals via the Newton polyhedra of the phase and the amplitude

【24h】

Asymptotic analysis of oscillatory integrals via the Newton polyhedra of the phase and the amplitude

机译：通过相位和振幅的牛顿多面体对振动积分进行渐近分析

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

The asymptotic behavior at infinity of oscillatory integrals is in detail investigated by using the Newton polyhedra of the phase and the amplitude. We are especially interested in the case that the amplitude has a zero at a critical point of the phase. The properties of poles of local zeta functions, which are closely related to the behavior of oscillatory integrals, are also studied under the associated situation.

机译：通过使用相位和振幅的牛顿多面体，详细研究了振荡积分无穷大处的渐近行为。我们对在相位的临界点振幅为零的情况特别感兴趣。在相关情况下，还研究了与振动积分行为密切相关的局部ζ函数的极点性质。

著录项

来源
《Journal of the Mathematical Society of Japan》 |2013年第2期|521-562|共42页
作者
Koji Cho; Joe Kamimoto; Toshihiro Nose;
展开▼
作者单位

Faculty of Mathematics Kyushu University Motooka 744, Nishi-ku Pukuoka 819-0395, Japan;

Faculty of Mathematics Kyushu University Motooka 744, Nishi-ku Fukuoka 819-0395, Japan;

Faculty of Mathematics Kyushu University Motooka 744, Nishi-ku Fukuoka 819-0395, Japan;

展开▼
收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词

相似文献

外文文献
中文文献
专利

1. NEWTON POLYHEDRA AND WEIGHTED OSCILLATORY INTEGRALS WITH SMOOTH PHASES [J] . Kamimoto Joe, Nose Toshihiro Transactions of the American Mathematical Society . 2016,第8期

机译：牛顿多面体和具有光滑相位的加权振荡积分
2. Multilinear level set operators, oscillatory integral operators, and Newton polyhedra [J] . D.H. Phong, E.M. Stein, Jacob Sturm Mathematische Annalen . 2001,第3期

机译：多线性能级集算子，振荡积分算子和牛顿多面体
3. Multilinear level set operators, oscillatory integral operators, and Newton polyhedra [J] . D. H. Phong, E. M. Stein, Jacob Sturm Mathematische Annalen . 2001,第3期

机译：多线性能级集算子，振荡积分算子和牛顿多面体
4. Newton Polyhedra and an Oscillation Index of Oscillatory Integrals with Convex Phases [C] . Isroil A. Ikromov, Akhmadjon Soleev International Workshop on Computer Algebra in Scientific Computing(CASC 2006); 20060911-15; Chisinau(MD) . 2006

机译：牛顿多面体和具有凸相的振荡积分的振动指数
5. Asymptotic estimates for oscillatory integral operators [D] . Comech, Andrew. 1997

机译：振荡积分运算符的渐近估计
6. Exactification of the Poincaré asymptotic expansion of the Hankel integral: spectacularly accurate asymptotic expansions and non-asymptotic scales [O] . Eric A. Galapon, Kay Marie L. Martinez -1

机译：Hankel积分的Poincaré渐近展开的实现：精确的渐近展开和非渐近标度
7. Asymptotic analysis of oscillatory integrals via the Newton polyhedra of the phase and the amplitude [O] . Koji CHO, Joe KAMIMOTO, Toshihiro NOSE 2013

机译：通过相位牛顿多面体的振荡积分的渐近分析及振幅

Asymptotic analysis of oscillatory integrals via the Newton polyhedra of the phase and the amplitude

摘要

著录项

相似文献

相关主题

期刊订阅