Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Characterizations of pseudodifferential operators on the circle

Author(s): Severino T. Melo
Journal: Proc. Amer. Math. Soc. 125 (1997), 1407-1412.
MSC (1991): Primary 47G30; Secondary 35S05, 58G15
MathSciNet review: 1415353
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Abstract: 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.

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