The Mourre Theory for Analytically Fibered Operators
The Mourre Theory for Analytically Fibered Operators
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分析纤维算子的莫雷理论
DOI：
10.1006/jfan.1997.3154
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发表时间：
1998
影响因子：
1.7
通讯作者：
F. Nier
中科院分区：
文献类型：
--
作者：
C. Gérard;F. Nier
本文发展了一类抽象的纤维自伴算子（我们称之为解析纤维算子）的理论。我们构造了一个共轭算子，证明了它的一个近似估计成立。解析纤维运营商的例子，最后，扰动等运营商被认为是。
Abstract We develop in this paper the Mourre theory for an abstract class of fibered self-adjoint operators which we call analytically fibered operators. We construct a conjugate operator for which we prove that a Mourre estimate holds. Examples of analytically fibered operators are given and, finally, perturbations of such operators are considered.