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Morteza Koozehgar Kalleji

Morteza Koozehgar Kalleji

Academic rank: Assistant Professor
ORCID: https://orcid.org/0000-0002-7052-7241
Education: PhD.
ScopusId: 55803631900
Faculty: Science
Address: Arak University
Phone:

Research

Title
A study on the adjoint of pseudo-differential operators on compact lie groups
Type
JournalPaper
Keywords
Pseudo-differential operator, compact Lie group, self-adjointness, normal operator, unitary operator
Year
2017
Journal Complex variables and elliptic equations
DOI
Researchers Morteza Koozehgar Kalleji ، mohammad bagher ghaemi ، elnaz nabizadeh ، majid jamalpor

Abstract

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 .