We investigate the properties an exotic symbol class of pseudodifferential operators, Sjöstrand's class, with methods of time-frequency analysis (phase space analysis). Compared to the classical treatment, the time-frequency approach leads to striklingly simple proofs of Sjöstrand's fundamental results and to far-reaching generalizations.
Cite this article
Karlheinz Gröchenig, Time-Frequency Analysis of Sjöstrand’s Class. Rev. Mat. Iberoam. 22 (2006), no. 2, pp. 703–724DOI 10.4171/RMI/471