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September, 2006 Time-Frequency Analysis of Sjöstrand's Class
Karlheinz Gröchenig
Rev. Mat. Iberoamericana 22(2): 703-724 (September, 2006).


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.


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Karlheinz Gröchenig . "Time-Frequency Analysis of Sjöstrand's Class." Rev. Mat. Iberoamericana 22 (2) 703 - 724, September, 2006.


Published: September, 2006
First available in Project Euclid: 26 October 2006

zbMATH: 1127.35089
MathSciNet: MR2294795

Primary: 35S05 , 47G30

Keywords: almost diagonalization , exotic symbols , Gabor frame , modulation space , pseudodifferential operators , short-time Fourier transform , spectral invariance , Wiener's Lemma , Wigner distribution

Rights: Copyright © 2006 Departamento de Matemáticas, Universidad Autónoma de Madrid

Vol.22 • No. 2 • September, 2006
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