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Time-Frequency Analysis of Sj\"ostrand's Class

Karlheinz Gröchenig
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Abstract

We investigate the properties an exotic symbol class of pseudodifferential operators, Sj\"ostrand's class, with methods of timne-frequency analysis (phase space analysis). Compared to the classical treatment, the time-frequency approach leads to striklingly simple proofs of Sj\"ostrand's fundamental results and to far-reaching generalizations.

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Karlheinz Gröchenig. 2004-09-16. Time-Frequency Analysis of Sj\"ostrand's Class. https://arxiv.org/abs/math/0409280

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