Hamiltonian Dynamics on Pseudodifferential Symbols

Boris Khesin

Recherche Coopérative sur Programme n°25 (1993)

  • Volume: 45, page 167-169

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Khesin, Boris. "Hamiltonian Dynamics on Pseudodifferential Symbols." Recherche Coopérative sur Programme n°25 45 (1993): 167-169. <http://eudml.org/doc/274995>.

@article{Khesin1993,
author = {Khesin, Boris},
journal = {Recherche Coopérative sur Programme n°25},
language = {eng},
pages = {167-169},
publisher = {Institut de Recherche Mathématique Avancée - Université Louis Pasteur},
title = {Hamiltonian Dynamics on Pseudodifferential Symbols},
url = {http://eudml.org/doc/274995},
volume = {45},
year = {1993},
}

TY - JOUR
AU - Khesin, Boris
TI - Hamiltonian Dynamics on Pseudodifferential Symbols
JO - Recherche Coopérative sur Programme n°25
PY - 1993
PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
VL - 45
SP - 167
EP - 169
LA - eng
UR - http://eudml.org/doc/274995
ER -

References

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  1. 1. B. A. Khesin and I. S. Zakharevich, Poisson-Lie group of pseudodifferential symbols and fractional KP - KdV hierarchies, C. R. Acad. Sci.316 (1993), pp. 621-626. Zbl0771.35056
  2. 2. B. A. Khesin and I. S. Zakharevich, Poisson-Lie group of pseudodifferential symbols, preprint IHES (Oct. 1993), pp. 64. Zbl0838.58040
  3. 3. O. S. Kravchenko and B. A. Khesin, Central extension of the Lie algebra of pseudodifferential operators, Funct. Anal. Appl., 25 (1991) , n° 2, pp. 83-85. Zbl0729.35154
  4. 4. V. G. Kac and D. H. Peterson, Spin and wedge representations of infinite-dimensional Lie algebras and groups, Proc. Nat. Acad. Sci. USA, 78 (1981), pp. 3308-3312. Zbl0469.22016
  5. 5. M. Adler, On a trace functional for formal pseudodifferential operators and the symplectic structure of the Korteweg-deVries type equations, Inven. Math., 50 (1979), pp. 219-248. Zbl0393.35058
  6. 6. I. M. Gelfand and L. A. Dickey, A family of Hamiltonian structures associated with nonlinear integrable differential equations. Preprint IPM AN SSSR - 139 (1978). 
  7. 7. M. D. Freeman and P. WestOn the relation between integrability and infinite-dimensional algebras, preprint hep-th/9303119 (March 1993), pp. 22. 
  8. 8. L. Bonora and C. S. Xiong, Matrix models without scaling limit, preprint SISSA-ISAS 161/92/EP. Zbl0984.81533

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