On a Trace Functional for Formal Pseudo-Differential Operators and the Symplectic Structure of the Korteweg-Devries Type Equation.

M. Adler

Inventiones mathematicae (1978/79)

  • Volume: 50, page 219-248
  • ISSN: 0020-9910; 1432-1297/e

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Adler, M.. "On a Trace Functional for Formal Pseudo-Differential Operators and the Symplectic Structure of the Korteweg-Devries Type Equation.." Inventiones mathematicae 50 (1978/79): 219-248. <http://eudml.org/doc/142614>.

@article{Adler1978/79,
author = {Adler, M.},
journal = {Inventiones mathematicae},
keywords = {Completely Integrable Hamiltonian Systems; Formal Pseudodifferential Operators; Trace Functional; Symplectic Structure; Abstract Lie Algebra Theorem; Korteweg-Devries Equation; Toda System},
pages = {219-248},
title = {On a Trace Functional for Formal Pseudo-Differential Operators and the Symplectic Structure of the Korteweg-Devries Type Equation.},
url = {http://eudml.org/doc/142614},
volume = {50},
year = {1978/79},
}

TY - JOUR
AU - Adler, M.
TI - On a Trace Functional for Formal Pseudo-Differential Operators and the Symplectic Structure of the Korteweg-Devries Type Equation.
JO - Inventiones mathematicae
PY - 1978/79
VL - 50
SP - 219
EP - 248
KW - Completely Integrable Hamiltonian Systems; Formal Pseudodifferential Operators; Trace Functional; Symplectic Structure; Abstract Lie Algebra Theorem; Korteweg-Devries Equation; Toda System
UR - http://eudml.org/doc/142614
ER -

Citations in EuDML Documents

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  1. Faouzi Ammar, Cohomologies et déformations de certaines algèbres de Lie ℤ -graduées
  2. Pierre van Moerbeke, Algèbres 𝒲 et équations non-linéaires
  3. Michael Semenov-Tian-Shansky, Quantum integrable systems
  4. Boris Khesin, Hamiltonian Dynamics on Pseudodifferential Symbols
  5. Elmar Schrohe, Traces on the cone algebra with asymptotics
  6. Benjamin Enriquez, Alexander Odesskii, Quantization of canonical cones of algebraic curves
  7. Tudor Ratiu, P. van Moerbeke, The Lagrange rigid body motion
  8. Adel Bilal, Non-Local Extensions of the Conformal Algebra : Matrix W-Algebras, Matrix KdV-Hierarchies and Non-Abelian Toda Theories
  9. J. Golenia, O. Hentosh, A. Prykarpatsky, Integrable three-dimensional coupled nonlinear dynamical systems related to centrally extended operator Lie algebras and their Lax type three-linearization
  10. Gloria Beffa, The Theory of differential invariance and infinite dimensional Hamiltonian evolutions

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