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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.
Gröchenig, Karlheinz. "Time-frequency analysis of Sjöstrand's class.." Revista Matemática Iberoamericana 22.2 (2006): 703-724. <http://eudml.org/doc/41989>.
@article{Gröchenig2006, abstract = {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.}, author = {Gröchenig, Karlheinz}, journal = {Revista Matemática Iberoamericana}, keywords = {Operadores pseudodiferenciales; Análisis armónico; exotic symbols; Wigner distribution; Gabor frame; short-time Fourier transform; spectral invariance; almost diagonalization; modulation space; Wiener's lemma}, language = {eng}, number = {2}, pages = {703-724}, title = {Time-frequency analysis of Sjöstrand's class.}, url = {http://eudml.org/doc/41989}, volume = {22}, year = {2006}, }
TY - JOUR AU - Gröchenig, Karlheinz TI - Time-frequency analysis of Sjöstrand's class. JO - Revista Matemática Iberoamericana PY - 2006 VL - 22 IS - 2 SP - 703 EP - 724 AB - 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. LA - eng KW - Operadores pseudodiferenciales; Análisis armónico; exotic symbols; Wigner distribution; Gabor frame; short-time Fourier transform; spectral invariance; almost diagonalization; modulation space; Wiener's lemma UR - http://eudml.org/doc/41989 ER -