Characterizations of pseudodifferential operators on the circle

Globally defined operators are shown to be equivalent to the classical pseudodifferential operators on the circle. A characterization of the smooth operators for the regular representation of \mathbb{S}^{1} is also given.

Saved in:
Bibliographic Details
Published in:Proceedings of the American Mathematical Society 1997-05, Vol.125 (5), p.1407-1412
Main Author: Melo, Severino T.
Format: Article
Language:English
Subjects:
Closed curves
Integers
Mathematical functions
Mathematical theorems
Symbolic order
Symbols
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Globally defined operators are shown to be equivalent to the classical pseudodifferential operators on the circle. A characterization of the smooth operators for the regular representation of \mathbb{S}^{1} is also given.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-97-04016-1