A study on the adjoint of pseudo-differential operators on compact lie groups

被引：4

作者：

Ghaemi, M. B. ^{[1
]}

Nabizadeh, E. ^{[1
]}

Jamalpour, M. ^{[1
]}

Kalleji, M. K. ^{[2
,3
]}

机构：

[1] Iran Univ Sci & Technol, Sch Math, Tehran, Iran

[2] Shahid Sattari Aeronaut Univ Sci & Technol, Sch Math, Tehran, Iran

[3] Arak Univ, Fac Sci, Dept Math, Arak 385688349, Iran

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2018年 / 63卷 / 10期

关键词：

Pseudo-differential operator; compact Lie group; self-adjointness; normal operator; unitary operator;

D O I：

10.1080/17476933.2017.1376188

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we find a formula for the adjoint of bounded pseudo-differential operators on compact Lie groups, which yields a necessary and sufficient condition for self-adjointness of these operators. By a similar method we find necessary and sufficient conditions for bounded pseudo-differential operators on compact Lie groups to be normal or unitary and we give some examples of our results on S-1. Then we show that similar results are true for some bounded pseudo-differential operators on Z.

引用

页码：1408 / 1420

页数：13

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