The scattering operator on asymptotically hyperbolic manifolds

被引：0

作者：

Barreto, Antonio Sa ^{[1
]}

Wang, Yiran ^{[2
,3
]}

机构：

[1] Purdue Univ, Dept Math, 150 North Univ St, W Lafayette, IN 47907 USA

[2] Univ Washington, Dept Math, Box 354350, Seattle, WA 98195 USA

[3] Hong Kong Univ Sci & Technol, Inst Adv Study, Kowloon, Lo Ka Chung Bldg,Lee Shau Kee Campus, Hong Kong, Peoples R China

来源：

JOURNAL OF SPECTRAL THEORY | 2019年 / 9卷 / 01期

关键词：

Asymptotically hyperbolic manifolds; radiation fields; scattering; scattering relation; wave equation; X-RAY TRANSFORM; INVERSE SCATTERING; LAPLACE OPERATOR; RESOLVENT; CONTINUATION; RIGIDITY; FIELDS;

D O I：

10.4171/JST/248

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain a formula for the Schwartz kernel of the scattering operator in terms of the Schwartz kernel of the forward fundamental solution of the wave operator on asymptotically hyperbolic manifolds. This formula is then used to show that the scattering operator is a Fourier integral operator that quantizes the scattering relation.

引用

页码：269 / 313

页数：45

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