Characterizations of pseudodifferential operators on the circle

Melo, Severino

doi:10.1090/S0002-9939-97-04016-1

Characterizations of pseudodifferential operators on the circle
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by Severino T. Melo PDF

Proc. Amer. Math. Soc. 125 (1997), 1407-1412 Request permission

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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