A model for Toepliz operators in the space of entire functions of exponential type

Donara Nguon

Bulletin de la Société Mathématique de France (1993)

  • Volume: 121, Issue: 1, page 1-12
  • ISSN: 0037-9484

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Nguon, Donara. "A model for Toepliz operators in the space of entire functions of exponential type." Bulletin de la Société Mathématique de France 121.1 (1993): 1-12. <http://eudml.org/doc/87660>.

@article{Nguon1993,
author = {Nguon, Donara},
journal = {Bulletin de la Société Mathématique de France},
keywords = {total symbol; Toeplitz type operators associated to pseudodifferential operators; wave packets; model; sharp Gårding type inequalities},
language = {eng},
number = {1},
pages = {1-12},
publisher = {Société mathématique de France},
title = {A model for Toepliz operators in the space of entire functions of exponential type},
url = {http://eudml.org/doc/87660},
volume = {121},
year = {1993},
}

TY - JOUR
AU - Nguon, Donara
TI - A model for Toepliz operators in the space of entire functions of exponential type
JO - Bulletin de la Société Mathématique de France
PY - 1993
PB - Société mathématique de France
VL - 121
IS - 1
SP - 1
EP - 12
LA - eng
KW - total symbol; Toeplitz type operators associated to pseudodifferential operators; wave packets; model; sharp Gårding type inequalities
UR - http://eudml.org/doc/87660
ER -

References

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  1. [1] BOUTET DE MONVEL (L.). — Hypoelliptic operators with double characteristics and related pseudo-differential operators, Comm. Pure Appl. Math., t. 27, 1974, p. 585-639. Zbl0294.35020MR51 #6498
  2. [2] BOUTET DE MONVEL (L.). — On the index of Toeplitz operators of several complex variables, Invent. Math., t. 50, 1979, p. 249-272. Zbl0398.47018MR80j:58063
  3. [3] BOUTET DE MONVEL (L.) and GUILLEMIN (V.). — Spectral theory of Toeplitz operators. - Ann. of Math. Studies, 99, 1981. Zbl0469.47021MR85j:58141
  4. [4] BOUTET DE MONVEL (L.) et SJÖSTRAND (J.). — Sur la singularité des noyaux de Bergmann et Szegö, Astérisque, t. 34-35, 1976, p. 123-164. Zbl0344.32010
  5. [5] FEFFERMAN (C.). — The uncertainty principle, Bull. Amer. Math. Soc., t. 9, 1983, p. 129-206. Zbl0526.35080MR85f:35001
  6. [6] HÖRMANDER (L.). — An introduction to complex analysis in several complex variables. - North-Holland, 1973. Zbl0271.32001
  7. [7] HÖRMANDER (L.). — The analysis of linear partial differential operators, Springer, vol. I-IV. 
  8. [8] MELIN (A.) et SJÖSTRAND (J.). — Fourier integral operators with complex valued phase functions, Lecture Notes in Math., t. 459, 1975, p. 120-223. Zbl0306.42007MR55 #4290

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