A Trace Formula and Review of Some Estimates for Resonances
A Trace Formula and Review of Some Estimates for Resonances
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迹公式和一些共振估计的回顾
DOI：
10.1007/978-94-011-5626-4_12
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发表时间：
1997
影响因子：
1
通讯作者：
J. Sjöstrand
中科院分区：
文献类型：
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作者：
J. Sjöstrand
NATO ASI关于微局部分析和谱理论的论文笔记的主要部分，Ti Ciocco，9月- 1996年10月，致力于一个新的轨迹公式的共振，这是有效的长程扰动的拉普拉斯在所有的维度。我们在复杂缩放的框架中工作，自然有机会回顾这种方法。我们还回顾了一些下界和一些上界的密度共振附近的真实的轴，主要是以下联合工作与M. Zworski。然而，下限是新的情况下，甚至尺寸和形式的第一个应用程序的新的跟踪公式。
The main part of theses notes from the NATO ASI on microlocal analysis and spectral theory at Ti Ciocco, Sept.-Oct. 1996, is devoted to a new trace formula for resonances, which is valid for long range perturbations of the Laplacian in all dimensions. We work in the frame work of complex scaling and have a natural opportunity to review that method. We also review some lower bounds and some upper bounds on the density of resonances near the real axis, mainly following joint works with M.Zworski. The lower bounds however, are new in the case of even dimensions and form a first application of the new trace formula.