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 and on closed manifolds are involved.
Cite this article
Ville Turunen, Commutator Characterization of Periodic Pseudodifferential Operators. Z. Anal. Anwend. 19 (2000), no. 1, pp. 95–108DOI 10.4171/ZAA/940