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The representation of an arbitrary, two-dimensional completely integrable system as the common action of two commuting one-dimensional Hamiltonian flows

2. Completely Integrable Systems

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Part of the Lecture Notes in Mathematics book series (LNM,volume 925)

Keywords

  • Spectral Measure
  • Symplectic Manifold
  • Moment Problem
  • Linear Differential Operator
  • Deformation Equation

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References

  1. D.V. Chudnovsky, Phys, Lett. 74A (1979), p. 185–188.

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  2. D.V. Chudnovsky, Les Houches Lectures, August 1979, Lecture Notes in Physics, v. 126, Springer-Verlag, 1980, pp. 352–416.

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  3. D.V. Chudnovsky, Lecce Lectures, June 1979, Lecture Notes in Physics, v. 120, Springer-Verlag 1980, pp. 103–150.

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  4. M.G. Krein, M.A. Krasnoselsky, Uspehki, Math. Nank 2 (1947), No. 3, pp. 60–106; Yu. M. Berezansky, Trudy Moscow Math. Soc., 21 (1970), pp. 47–102.

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  5. A.C. Newell, Proc. Royal. Soc. London, A365 (1979), pp. 283–311.

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  6. D.V. Chudnovsky, C.R. Acad. Sci. Paris, 289A (1979), pp. A–731–A–734. *** DIRECT SUPPORT *** A00J4399 00004

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© 1982 Springer-Verlag

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Chudnovsky, D.V. (1982). The representation of an arbitrary, two-dimensional completely integrable system as the common action of two commuting one-dimensional Hamiltonian flows. In: Chudnovsky, D.V., Chudnovsky, G.V. (eds) The Riemann Problem, Complete Integrability and Arithmetic Applications. Lecture Notes in Mathematics, vol 925. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093501

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  • DOI: https://doi.org/10.1007/BFb0093501

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11483-3

  • Online ISBN: 978-3-540-39152-4

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