SPECTRAL THEORY OF PSEUDODIFFERENTIAL-OPERATORS

被引：14
|
作者：
WONG, MW
机构：
[1] Department of Mathematics and Statistics, York University, North York, ON, M3J 1P3
来源：
ADVANCES IN APPLIED MATHEMATICS | 1994年 / 15卷 / 04期
关键词：
D O I：
10.1006/aama.1994.1018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We define the minimal and maximal operators of an elliptic pseudo-differential operator on L(p)(R(n)), 1 < p < infinity, and prove that they are equal. The spectrum and essential spectra of the minimal (or maximal) operator on L(p)(R(n)), 1 < p < infinity, are then described. Applications of the theory to the self-adjointness and spectral analysis of quantum mechanical observables on L2(R(n)) are given. (C) 1994 Academic Press, Inc.
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页码：437 / 451
页数：15
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