On a~Ring of Formal Pseudodifferential Operators
Informatics and Automation, Algebra. Topology. Differential equations and their applications, Tome 224 (1999), pp. 291-305.

Voir la notice de l'article provenant de la source Math-Net.Ru

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A. N. Parshin. On a~Ring of Formal Pseudodifferential Operators. Informatics and Automation, Algebra. Topology. Differential equations and their applications, Tome 224 (1999), pp. 291-305. http://geodesic.mathdoc.fr/item/TRSPY_1999_224_a18/

[1] Burbaki N., Algebra: Moduli, koltsa, formy, Nauka, M., 1966 | MR

[2] Cohn P. M., Skew-fields, Cambridge Univ. Press, Cambridge, 1997 | MR

[3] Dzhumadildaev A. S., “Differentsirovaniya i tsentralnye rasshireniya algebry Li formalnykh psevdodifferentsialnykh operatorov”, Algebra i analiz, 6:1 (1994), 140–158 | MR

[4] Fimmel T., Parshin A. N., Introduction to the higher adelic theory, Preprint, Moscow, 1996

[5] Gelfand I. M., Dikii L. A., “Drobnye stepeni operatorov i gamiltonovy sistemy”, Funktsion. analiz i ego pril., 10:4 (1976), 13–29 | MR | Zbl

[6] Guillemin V., Quillen D., Sternberg S., “The integrability of characteristics”, Commun. Pure and Appl. Math., 23 (1970), 39–77 | DOI | MR | Zbl

[7] Guillemin V., Sternberg S., Symplectic techniques in physics, Cambridge Univ. Press, Cambridge, 1984 | MR

[8] Mulase M., “Solvability of the super KP equation and a generalization of the Birkhoff decomposition”, Invent. Math., 92 (1988), 1–46 | DOI | MR | Zbl

[9] Mamford D., Lektsii o teta-funktsiyakh, Mir, M., 1988 | MR

[10] Osipov D. V., “Adelnye konstruktsii pryamykh obrazov differentsialov i simvolov”, Mat. sb., 188:5 (1997), 59–84 | MR | Zbl

[11] Parshin A. N., “Kogomologii Galua i gruppa Brauera lokalnykh polei”, Tr. MIAN, 183, 1990, 159–169 | MR | Zbl

[12] Semenov-Tyan-Shanskii M. A., “Chto takoe klassicheskaya $r$-matritsa”, Funktsion. analiz i ego pril., 17 (1983), 17–33 | MR

[13] Sato M., Sato Y., “Soliton equations as dynamical systems on infinite dimensional Grassmann manifold”, Nonlinear partial differential equations in applied science (Tokyo, 1982), North-Holland Math. Stud., 81, North-Holland, Amsterdam, 1983, 259–271 | MR | Zbl

[14] Schur I., “Über vertauschbare lineare Differentialausdrücke”, Sitzungsber. Berliner Math. Ges., 4 (1905), 2–8 | Zbl