Time-frequency analysis of Sjöstrand's class.

Karlheinz Gröchenig

Revista Matemática Iberoamericana (2006)

  • Volume: 22, Issue: 2, page 703-724
  • ISSN: 0213-2230

Abstract

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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.

How to cite

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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 -

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