Time-Frequency Analysis of Sjöstrand's Class
Rev. Mat. Iberoamericana, Tome 22 (2006) no. 2, p. 703-724 / Harvested from Project Euclid
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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.
Publié le : 2006-09-14
Classification:  pseudodifferential operators,  exotic symbols,  Wigner distribution,  Gabor frame,  short-time Fourier transform,  spectral invariance,  almost diagonalization,  modulation space,  Wiener's Lemma,  35S05,  47G30 
@article{1161871353,
     author = {Gr\"ochenig
,  
Karlheinz},
     title = {Time-Frequency Analysis of Sj\"ostrand's Class},
     journal = {Rev. Mat. Iberoamericana},
     volume = {22},
     number = {2},
     year = {2006},
     pages = { 703-724},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1161871353}
}

Gröchenig
,  
Karlheinz. Time-Frequency Analysis of Sjöstrand's Class. Rev. Mat. Iberoamericana, Tome 22 (2006) no. 2, pp.  703-724. http://gdmltest.u-ga.fr/item/1161871353/