Quantification et analyse pseudo-différentielle

André Unterberger; Julianne Unterberger

Annales scientifiques de l'École Normale Supérieure (1988)

  • Volume: 21, Issue: 1, page 133-158
  • ISSN: 0012-9593

How to cite

top

Unterberger, André, and Unterberger, Julianne. "Quantification et analyse pseudo-différentielle." Annales scientifiques de l'École Normale Supérieure 21.1 (1988): 133-158. <http://eudml.org/doc/82218>.

@article{Unterberger1988,
author = {Unterberger, André, Unterberger, Julianne},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {phase space; symbols; Besse calculus; Fuchs calculus; asymptotic formulas; composition of symbols},
language = {fre},
number = {1},
pages = {133-158},
publisher = {Elsevier},
title = {Quantification et analyse pseudo-différentielle},
url = {http://eudml.org/doc/82218},
volume = {21},
year = {1988},
}

TY - JOUR
AU - Unterberger, André
AU - Unterberger, Julianne
TI - Quantification et analyse pseudo-différentielle
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1988
PB - Elsevier
VL - 21
IS - 1
SP - 133
EP - 158
LA - fre
KW - phase space; symbols; Besse calculus; Fuchs calculus; asymptotic formulas; composition of symbols
UR - http://eudml.org/doc/82218
ER -

References

top
  1. [1] R. BEALS, A General Calculus of Pseudodifferential Operators (Duke Math. J., vol. 42, 1975, p. 1-42). Zbl0343.35078MR51 #3972
  2. [2] F. A. BEREZIN, Quantization, [Izv. Akad. Nauk. U.S.S.R., vol. 38, (5), 1974 ; Math. U.S.S.R. Izvestija, vol. 8, (5), 1974, p. 1109-1165]. Zbl0312.53049MR52 #16404
  3. [3] F. A. BEREZIN, Quantization in Complex Symmetric Spaces [Izv. Akad. Nauk. U.S.S.R., vol. 39, (2), 1975 ; Math. U.S.S.R. Izvestija, vol. 9, (2), 1975, p. 341-379]. Zbl0324.53049MR58 #22691
  4. [4] F. A. BEREZIN, A Connection between the co- and contravariant Symbols of Operators on Classical Complex Symmetric Spaces [Dokl. Akad. Nauk. U.S.S.R., vol. 241, (1), 1978 ; Soviet Math. Dokl., vol. 19, (4), 1978, p. 786-789]. Zbl0439.47038MR81j:32031
  5. [5] A. CALDERON, R. VAILLANCOURT, On the Boundedness of Pseudodifferential Operators (J. Math. Soc. Japan, vol. 23, 1971, p. 374-378). Zbl0203.45903MR44 #2096
  6. [6] V. GUILLEMIN et S. STERNBERG, Symplectic Techniques in Physics, Cambridge Univ. Press, Cambridge-London-New York-New Rochelle-Melbourne-Sydney, 1984. Zbl0576.58012MR86f:58054
  7. [7] L. HÖRMANDER, On the L²-continuity of Pseudodifferential Operators (Comm. Pure Appl. Math., vol. 24, 1971, p. 529-535). Zbl0206.39303
  8. [8] L. HÖRMANDER, The Weyl Calculus of Pseudodifferential Operators (Comm. Pure Appl. Math., vol. 23, (3), 1979, p. 359-443). Zbl0388.47032
  9. [9] J. LERAY, Analyse lagrangienne et mécanique (Séminaire au Collège de France, 1967-1977, Paris). 
  10. [10] W. MAGNUS, F. OBERHETTINGER et R. P. SONI, Formulas and Theorems for the Special Functions of Mathematical Physics, 3e édition, Springer-Verlag, Berlin, 1966. Zbl0143.08502MR38 #1291
  11. [11] R. B. MELROSE, Transformation of Boundary Problem (Acta Math., vol. 147, 1981, p. 149-236). Zbl0492.58023MR83f:58073
  12. [12] A. PERELOMOV, Generalized Coherent States and their Applications, Springer-Verlag, Berlin, 1986. Zbl0605.22013MR87m:22035
  13. [13] F. TREVES, Introduction to Pseudodifferential Operators and Fourier Integral Operators, Plenum Press, New York-London, 1980. Zbl0453.47027
  14. [14] A. UNTERBERGER, Symboles associés aux champs de repères de la forme symplectique (C.R. Acad. Sc., Paris, tome 285, 1977, p. 1005-1008). Zbl0381.47025MR58 #24411
  15. [15] A. UNTERBERGER, Oscillateur harmonique et opérateurs pseudo-différentiels (Ann. Inst. Fourier, vol. 29, (3), 1979, p. 201-221). Zbl0396.47027MR81m:58077
  16. [16] A. UNTERBERGER, Symbolic calculi and the duality of homogeneous spaces (Contemp. Math., vol. 27, 1984, p. 237-252). Zbl0536.58031MR85h:58166
  17. [17] A. UNTERBERGER, The Calculus of Pseudodifferential Operators of Fuchs Type (Comm. Part. Diff. Equ., vol. 9, (12), 1984, p. 1179-1236). Zbl0561.35081MR86d:35152
  18. [18] A. UNTERBERGER, L'analyse harmonique et l'analyse pseudo-différentielle du cône de lumière (à paraître dans "Astérisque", Soc. Math. de France). Zbl0643.35118
  19. [19] A. UNTERBERGER, Quantification et équations aux dérivées partielles (Colloque J. Braconnier, Lyon, 1986). 
  20. [20] A. UNTERBERGER, Analyse relativiste (C.R. Acad. Sc., Paris, vol. 305, 1987, p. 415-418). Zbl0629.58015MR89a:47075
  21. [21] A. UNTERBERGER et J. UNTERBERGER, La série discrète de SL(2, ℝ) et les opérateurs pseudo-différentiels sur une demi-droite (Ann. Sci. Ec. Norm. Sup., vol. 17, 1984, p. 83-116). Zbl0549.35119MR86c:22026
  22. [22] A. UNTERBERGER et J. UNTERBERGER, A Quantization of the Cartan Domain BDI(q = 2) and operators on the light-cone (J. Funct. Anal., vol. 72, (2), 1987, p. 279-319). Zbl0632.58033MR88k:58152
  23. [23] A. WEIL, Sur certains groupes d'opérateurs unitaires (Acta Math., vol. 111, 1964, p. 143-211). Zbl0203.03305MR29 #2324

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.