Pseudo-differential operators on the unit circle S1 with center at the origin are defined in terms of symbols on S1 ×Z. Results on the boundedness and compactness of these pseudo-differential operators on L2(S1) are presented. In addition, we prove a result on the Lp-boundedness for 1 < p < ∞.
CITATION STYLE
Molahajloo, S., & Wong, M. W. (2009). Pseudo-differential operators on S1. In Operator Theory: Advances and Applications (Vol. 189, pp. 297–306). Springer International Publishing. https://doi.org/10.1017/cbo9780511662850.009
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