Some remarks on Weyl pseudodifferential operators
Journées équations aux dérivées partielles (1993), article no. 12, 14 p.
Jan Derezinski. Some remarks on Weyl pseudodifferential operators. Journées équations aux dérivées partielles (1993), article  no. 12, 14 p.. doi: 10.5802/jedp.449
@incollection{JEDP_1993____A12_0,
     author = {Jan Derezinski},
     title = {Some remarks on {Weyl} pseudodifferential operators},
     booktitle = {},
     series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {12},
     pages = {1--14},
     year = {1993},
     publisher = {\'Ecole polytechnique},
     doi = {10.5802/jedp.449},
     mrnumber = {94j:35205},
     zbl = {0802.35171},
     language = {en},
     url = {https://proceedings.centre-mersenne.org/articles/10.5802/jedp.449/}
}
TY  - JOUR
AU  - Jan Derezinski
TI  - Some remarks on Weyl pseudodifferential operators
JO  - Journées équations aux dérivées partielles
PY  - 1993
SP  - 1
EP  - 14
PB  - École polytechnique
UR  - https://proceedings.centre-mersenne.org/articles/10.5802/jedp.449/
DO  - 10.5802/jedp.449
LA  - en
ID  - JEDP_1993____A12_0
ER  - 
%0 Journal Article
%A Jan Derezinski
%T Some remarks on Weyl pseudodifferential operators
%J Journées équations aux dérivées partielles
%] 12
%D 1993
%P 1-14
%I École polytechnique
%U https://proceedings.centre-mersenne.org/articles/10.5802/jedp.449/
%R 10.5802/jedp.449
%G en
%F JEDP_1993____A12_0

[A] V.Arnold, Les Méthodes Mathématiques de la Mécanique classique, Éditions Mir, Moscow 1976. | MR | Zbl

[BeSh] F.Berezin, M.Shubin, Symbols of operators and quantization, Mir, Moscow, 1971.

[CV] Y.Colin De Verdiere, Spectre conjoint d'operateurs pseudodifferentielles qui commutent I, Duke Math. Journ. 46, 169-182 (1979). | MR | Zbl

[FH] R.P.Feynman and A.R.Hibbs, Quantum Mechanics and Path Integrals, Mc Graw-Hill Book Comp. 1965. | Zbl

[G] A.Grossmann, Parity operator and quantification of δ-functions, Comm.Math.Phys. 48, 191-194, (1976). | MR | Zbl

[HR1] B.Helffer and D.Robert, Comportement semi-classique du spectre des hamiltoniens quantiques elliptiques, Ann. Inst. Fourier (Grenoble) 31(3), 405-431 (1981). | Numdam | MR | Zbl

[HR2] B.Helffer and D.Robert, Calcul fonctionnel par la transform de Mellin et operateurs admissibles, Journ. Func. Anal. 53, 246-268 (1983). | MR | Zbl

[HS1] B.Helffer, J.Sjöstrand, Analyse semi-classique pour l'equation de Harper II, Mémoires de la SMF, 1988.

[HS2] B.Helffer, J.Sjöstrand, Analyse semi-classique pour l'equation de Harper III, Mémoires de la SMF, 1989.

[Hö1] L.Hörmander, The Analysis of Linear Partial Differential Operators III, Pseudo-Differential Operators, Springer. | Zbl

[Hö2] L.Hörmander, Symplectic classification of quadratic forms, manuscript 1992. | Zbl

[L] J.Leray, Analyse Lagrangienne en mécanique semiclassique, Cours au Collège de France 19761977.

[MaFe] V.P.Maslov and M.V.Fedoriuk, Semi-classical Approximation in Quantum Mechanics, MPAM No 7, Reidel, Dordrecht, 1981. | MR | Zbl

[Ro1] D.Robert, Calcul fonctionnel sur les operateurs admissibles et applications, Journ. Func. Anal. 45, 74-94 (1982). | MR | Zbl

[Ro2] D.Robert, Autour de l'approximation semi-classique, Progress in Mathematics, Vol. 68, Birkhäuser. | MR | Zbl

[RS] M.Reed and B.Simon, Methods of Modern Mathematical Physics, vols I and II, Academic Press, London. | Zbl

[Se] R.Seeley, Complex powers of an elliptic operator, Proc. Symp. Pure Math. 16, 288-307 (1967). | MR | Zbl

[Ta] M.Taylor, Pseudodifferential Operators, Princeton Univ. Press, Princeton, NJ, 1981. | MR | Zbl

[Tr] F.Treves, Introduction to pseudodifferential and Fourier integral operators, Volume 1, Pseudodifferential operators, Plenum Press, New York and London, 1980. | Zbl

[U1] A.Unterberger, Oscillateur harmonique et operateurs pseudo-differentiels, Ann. Inst. Fourier 29, 201-221 (1979). | Numdam | MR | Zbl

[U2] A.Unterberger Les opérateurs métadifferentiels, Lecture notes in Physics 126, 205-241 (1980). | MR | Zbl

[We] H.Weyl, The theory of groups and quantum mechanics, Dover Publ. Co., New York (1931).

[Wi] J.Williamson, On the algebraic problem concerning the normal form of linear dynamical systems, Amer. J. Math. 58, 141-163 (1936). | JFM | Zbl

[Sj] J.Sjöstrand, «Singularités analytiques microlocales», Astérisque no 95 (1982). | MR | Zbl

[Sh] M.Shubin, Pseudodifferential operators and spectral theory, Nauka, Moscow (1978) (in Russian). | Zbl

Cited by Sources: