Scattering Theory and Banach Space Valued Singular Integrals

被引：0

作者：

Pushnitski, Alexander ^{[1
]}

Volberg, Alexander ^{[2
]}

机构：

[1] Kings Coll London, Dept Math, London WC2R 2LS, England

[2] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2014年 / 2014卷 / 20期

关键词：

D O I：

10.1093/imrn/rnt137

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a new sufficient condition for existence and completeness of wave operators in an abstract scattering theory. This condition generalizes both trace class and smooth approaches to the scattering theory. Our construction is based on estimates for the Cauchy transforms of operator-valued measures.

引用

页码：5667 / 5696

页数：30

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