Some remarks on Weyl pseudodifferential operators

Jan Derezinski

Journées équations aux dérivées partielles (1993)

  • Volume: 1993, Issue: 12, page 1-14
  • ISSN: 0752-0360

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Derezinski, Jan. "Some remarks on Weyl pseudodifferential operators." Journées équations aux dérivées partielles 1993.12 (1993): 1-14. <http://eudml.org/doc/93263>.

@article{Derezinski1993,
author = {Derezinski, Jan},
journal = {Journées équations aux dérivées partielles},
keywords = {Weyl pseudodifferential operators; symbols},
language = {eng},
number = {12},
pages = {1-14},
publisher = {Ecole polytechnique},
title = {Some remarks on Weyl pseudodifferential operators},
url = {http://eudml.org/doc/93263},
volume = {1993},
year = {1993},
}

TY - JOUR
AU - Derezinski, Jan
TI - Some remarks on Weyl pseudodifferential operators
JO - Journées équations aux dérivées partielles
PY - 1993
PB - Ecole polytechnique
VL - 1993
IS - 12
SP - 1
EP - 14
LA - eng
KW - Weyl pseudodifferential operators; symbols
UR - http://eudml.org/doc/93263
ER -

References

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  6. [HR1] B.Helffer and D.Robert, Comportement semi-classique du spectre des hamiltoniens quantiques elliptiques, Ann. Inst. Fourier (Grenoble) 31(3), 405-431 (1981). Zbl0451.35022MR83b:58072
  7. [HR2] B.Helffer and D.Robert, Calcul fonctionnel par la transform de Mellin et operateurs admissibles, Journ. Func. Anal. 53, 246-268 (1983). Zbl0524.35103MR85i:47052
  8. [HS1] B.Helffer, J.Sjöstrand, Analyse semi-classique pour l'equation de Harper II, Mémoires de la SMF, 1988. Zbl0634.35056
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  10. [Hö1] L.Hörmander, The Analysis of Linear Partial Differential Operators III, Pseudo-Differential Operators, Springer. Zbl0601.35001
  11. [Hö2] L.Hörmander, Symplectic classification of quadratic forms, manuscript 1992. Zbl0829.35150
  12. [L] J.Leray, Analyse Lagrangienne en mécanique semiclassique, Cours au Collège de France 19761977. 
  13. [MaFe] V.P.Maslov and M.V.Fedoriuk, Semi-classical Approximation in Quantum Mechanics, MPAM No 7, Reidel, Dordrecht, 1981. Zbl0458.58001MR84k:58226
  14. [Ro1] D.Robert, Calcul fonctionnel sur les operateurs admissibles et applications, Journ. Func. Anal. 45, 74-94 (1982). Zbl0482.35069MR83b:35170
  15. [Ro2] D.Robert, Autour de l'approximation semi-classique, Progress in Mathematics, Vol. 68, Birkhäuser. Zbl0621.35001MR89g:81016
  16. [RS] M.Reed and B.Simon, Methods of Modern Mathematical Physics, vols I and II, Academic Press, London. Zbl0401.47001
  17. [Se] R.Seeley, Complex powers of an elliptic operator, Proc. Symp. Pure Math. 16, 288-307 (1967). Zbl0159.15504MR38 #6220
  18. [Ta] M.Taylor, Pseudodifferential Operators, Princeton Univ. Press, Princeton, NJ, 1981. Zbl0453.47026MR82i:35172
  19. [Tr] F.Treves, Introduction to pseudodifferential and Fourier integral operators, Volume 1, Pseudodifferential operators, Plenum Press, New York and London, 1980. Zbl0453.47027
  20. [U1] A.Unterberger, Oscillateur harmonique et operateurs pseudo-differentiels, Ann. Inst. Fourier 29, 201-221 (1979). Zbl0396.47027MR81m:58077
  21. [U2] A.UnterbergerLes opérateurs métadifferentiels, Lecture notes in Physics 126, 205-241 (1980). Zbl0452.35121MR82j:35142
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