Fourier integral operators and Weyl-Hörmander calculus (the case of a symplectic metric)

Jean-Michel Bony

Journées équations aux dérivées partielles (1994)

  • Volume: 1994, page 1-14
  • ISSN: 0752-0360

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Bony, Jean-Michel. "Opérateurs intégraux de Fourier et calcul de Weyl-Hörmander (cas d'une métrique symplectique)." Journées équations aux dérivées partielles 1994 (1994): 1-14. <http://eudml.org/doc/93294>.

@article{Bony1994,
author = {Bony, Jean-Michel},
journal = {Journées équations aux dérivées partielles},
keywords = {metaplectic operators; Weyl-Hörmander calculus; symplectic metric; symplectic transformations},
language = {fre},
pages = {1-14},
publisher = {Ecole polytechnique},
title = {Opérateurs intégraux de Fourier et calcul de Weyl-Hörmander (cas d'une métrique symplectique)},
url = {http://eudml.org/doc/93294},
volume = {1994},
year = {1994},
}

TY - JOUR
AU - Bony, Jean-Michel
TI - Opérateurs intégraux de Fourier et calcul de Weyl-Hörmander (cas d'une métrique symplectique)
JO - Journées équations aux dérivées partielles
PY - 1994
PB - Ecole polytechnique
VL - 1994
SP - 1
EP - 14
LA - fre
KW - metaplectic operators; Weyl-Hörmander calculus; symplectic metric; symplectic transformations
UR - http://eudml.org/doc/93294
ER -

References

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  1. [A&F] K. Asada et D. Fujiwara, On some oscillatory integral transformations in L2(Rn), Japan J. Math. 4 (1978) 299-361. Zbl0402.44008MR80d:47076
  2. [Be] R. Beals, Weighted distribution spaces and pseudodifferential operators, J. An. Math. 39 (1981) 130-187. Zbl0474.35089MR83a:35105
  3. [B&C] J.-M. Bony et J.-Y. Chemin, Espaces fonctionnels associés au calcul de Weyl-Hörmander, Bull. Soc. Math. France 122 (1994) 77-118. Zbl0798.35172MR95a:35152
  4. [B&L] J.-M. Bony et N. Lerner, Quantification asymptotique et microlocalisations d'ordre supérieur I, Ann. scient. Ec. Norm. Sup. 4e série 22 (1989) 377-433. Zbl0753.35005MR90k:35276
  5. [D&G] J. Derezinski et C. Gérard, Asymptotic completeness of N-particle systems, Prépublication, Ecole Polytechnique. 
  6. [Hö1] L. Hörmander, The Weyl calculus of pseudo-differential operators, Comm. Pure Appl. Math. 32 (1979) 359-443. Zbl0388.47032
  7. [Hö2] L. Hörmander, The analysis of linear partial differential operators, Springer-Verlag (1985). Zbl0601.35001
  8. [Sj] J. Sjöstrand, An algebra of pseudodifferential operators, Math. Res. Letters 1 (1994) 185-192. Zbl0840.35130MR95b:47065
  9. [Un] A. Unterberger, Les opérateurs métadifférentiels, Lecture Notes in Physics 126 (1980) 205-241. Zbl0452.35121MR82j:35142

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