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Time-Frequency Analysis of Sjöstrand's Class

Karlheinz Gröchenig

math.FAarXiv:math/0409280

Abstract

We investigate the properties an exotic symbol class of pseudodifferential operators, Sjöstrand'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 Sjöstrand's fundamental results and to far-reaching generalizations.

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