Semi-classical Analysis and Pseudospectra
谱理论
2007-05-23 v1
摘要
We prove an approximate spectral theorem for non-self-adjoint operators and investigate its applications to second order differential operators in the semi-classical limit. This leads to the construction of a twisted FBI transform. We also investigate the connections between pseudospectra and boundary conditions in the semi-classical limit.
引用
@article{arxiv.math/0402172,
title = {Semi-classical Analysis and Pseudospectra},
author = {E. B. Davies},
journal= {arXiv preprint arXiv:math/0402172},
year = {2007}
}