Zeitschrift für Analysis und ihre Anwendungen
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Published online: 2000-03-31
Commutator Characterization of Periodic Pseudodifferential OperatorsVille Turunen (1) Helsinki University of Technology, Finland
We show in a novel way that periodic pseudodifferential operators are pseudodiffer-ential operators in Hörmander’s definition. In our approach, commutators a la Beals, Dunau, Coifman and Meyer on $\mathbb R^n$ and on closed manifolds are involved.
Keywords: Commutators, pseudodifferential operators on manifolds, periodic pseudodifferential operators
Turunen Ville: Commutator Characterization of Periodic Pseudodifferential Operators. Z. Anal. Anwend. 19 (2000), 95-108. doi: 10.4171/ZAA/940