Time-frequency analysis of Sjöstrand's class.
Karlheinz Gröchenig (2006)
Revista Matemática Iberoamericana
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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.