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Some preliminary remarks on the formal variational calculus of gel'fand and dikii

Chapter II. Geometric Quantization And Symplectic Structures

Part of the Lecture Notes in Mathematics book series (LNM,volume 676)

Keywords

  • Vector Field
  • Hamiltonian Vector Field
  • Sturm Liouville Equation
  • Singular Direction
  • Vertical Vector Field

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References

  1. I. M. Gel'fand and L. A. Dikii, "Asymptotic behaviour of the resolvent of Sturm Liouville equations and the algebra of Korteweg-DeVries equations. Uspekhi Math Nauk 30:5 (1975) 67–100 or Russian Math Surveys 30:5 (1975) 77–113.

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  2. H. Goldschmidt and S. Sternberg, "The Hamilton Cartan formalism in the calculus of variations" Am. Inst. Four. 23 (1973) 203–267.

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© 1978 Springer-Verlag

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Sternberg, S. (1978). Some preliminary remarks on the formal variational calculus of gel'fand and dikii. In: Bleuler, K., Reetz, A., Petry, H.R. (eds) Differential Geometrical Methods in Mathematical Physics II. Lecture Notes in Mathematics, vol 676. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063683

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  • DOI: https://doi.org/10.1007/BFb0063683

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  • Online ISBN: 978-3-540-35721-6

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