2 Calcul de Weyl et déformations

E. Combet; G. Patissier

Publications du Département de mathématiques (Lyon) (1983)

  • Volume: 3/B, Issue: 3B, page 1-22
  • ISSN: 0076-1656

How to cite

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Combet, E., and Patissier, G.. "2 Calcul de Weyl et déformations." Publications du Département de mathématiques (Lyon) 3/B.3B (1983): 1-22. <http://eudml.org/doc/274280>.

@article{Combet1983,
author = {Combet, E., Patissier, G.},
journal = {Publications du Département de mathématiques (Lyon)},
keywords = {Weyl calculus; quantification; symplectic structure; deformation},
language = {fre},
number = {3B},
pages = {1-22},
publisher = {Université Claude Bernard - Lyon 1},
title = {2 Calcul de Weyl et déformations},
url = {http://eudml.org/doc/274280},
volume = {3/B},
year = {1983},
}

TY - JOUR
AU - Combet, E.
AU - Patissier, G.
TI - 2 Calcul de Weyl et déformations
JO - Publications du Département de mathématiques (Lyon)
PY - 1983
PB - Université Claude Bernard - Lyon 1
VL - 3/B
IS - 3B
SP - 1
EP - 22
LA - fre
KW - Weyl calculus; quantification; symplectic structure; deformation
UR - http://eudml.org/doc/274280
ER -

References

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  1. [1] A. Grossmann, G. Loupias, E.M. Stein, An algebra of pseudodifferential operators and quantum mechanics in phase spacefAnn. Inst. Fourier18, 2 (1968), 343-368. Zbl0176.45102MR267425
  2. [2] A. Voros, An algebra of pseudodifferential operators and the asymptotics of quantum mechanics. Journal of functional Analysis29, 104-132 (1978). Zbl0386.47031MR496088
  3. [3] A. Unterberger, Oscillateur harmonique et opérateurs pseudodifférentiels. Ann. Inst. Fourier, 29, 3 (1979), 201-224. Zbl0396.47027MR552965
  4. [4] L. Hormander, The Weyl calculuc of pseudo-differential operators. Communications on P. and A. Mathematics, Vol. XXXII (1979), 359-443. Zbl0388.47032
  5. [5] F. Bayen, M. Flato, C. Fronsdal, A. Lichnerovicz et D. Sternheimer, Deformation theory and quantization. Ann. of Physics t. 1111978, p. 61-110 et p. 111-152. Zbl0377.53025MR496157
  6. [6] G. Patissier, Déformations différentielles à coefficients constants et produits de Moyal générélisés. Ann. Inst. Henri Poincaré Vol. XXX, 4, 1979, p. 275-293. Zbl0444.35081MR557391
  7. [7] C. Moreno, Produits * et analyse spectrale. Comptes-rendus des journées relativistes, Grenoble1981. 
  8. [8] M. Cohen et S. Gutt, Regular * representations of Lie algebrasLetters in Mathematical Physics, 6 (1982), p. 395-404. Zbl0522.58018MR677443
  9. [9] S. Gutt, Deformation theory and its applications to mechanics and to group representation. Preprint, 1982. Zbl0565.58021MR773484
  10. [10] A. Lichnerovicz, Deformations d’algèbres associées à une varieté symplectique (les * ν -produits), Annales de l'Institut Fourier. tome XXXII, fasc. 1, année 1982. Zbl0465.53025
  11. [11] L. Hormander, pseudo-differential operators and hypoelliptic equations. Amer. Math. Soc.Symp. on Singular integral operators1966. pp. 138-183. Zbl0167.09603MR383152

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