Revista Matemática Iberoamericana

Time-Frequency Analysis of Sjöstrand's Class

Karlheinz Gröchenig

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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.

Article information

Source
Rev. Mat. Iberoamericana, Volume 22, Number 2 (2006), 703-724.

Dates
First available in Project Euclid: 26 October 2006

Permanent link to this document
https://projecteuclid.org/euclid.rmi/1161871353

Mathematical Reviews number (MathSciNet)
MR2294795

Zentralblatt MATH identifier
1127.35089

Subjects
Primary: 35S05: Pseudodifferential operators 47G30: Pseudodifferential operators [See also 35Sxx, 58Jxx]

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

Citation

Gröchenig, Karlheinz. Time-Frequency Analysis of Sjöstrand's Class. Rev. Mat. Iberoamericana 22 (2006), no. 2, 703--724. https://projecteuclid.org/euclid.rmi/1161871353


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