Asymptotic expansions for some integrals of quotients with degenerated divisors

被引：7
|
作者：
Kuksin, S. [1 ]
机构：
[1] Univ Paris Diderot, Inst Math Jussieu Paris Rive Gauche, CNRS, UMR 7586,Sorbonne Paris Cite, F-75013 Paris, France
来源：
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS | 2017年 / 24卷 / 04期
关键词：
D O I：
10.1134/S1061920817040069
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the asymptotic expansion as nu -> 0 for integrals over R-2d = {(x, y)} of the quotients F(x, y)/((x center dot y)(2) + (nu I"(x, y))(2)), where I" is strictly positive and F decays at infinity sufficiently fast. Integrals of this kind appear in the description of the four-waves interactions.
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页码：476 / 487
页数：12
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