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.

引用

页码：437 / 451

页数：15

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