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The spectrum of Jacobi matrices. (English) Zbl 0361.15010


MSC:

37K25 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry
14K99 Abelian varieties and schemes
15B57 Hermitian, skew-Hermitian, and related matrices
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References:

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[3] Flaschka, H.: The Toda lattice II. Progr. Theor. Phys.51, 703-716 (1974) · Zbl 0942.37505
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[10] McKean, H. P., van Moerbeke, P.: The spectrum of Hill’s equation, Inventiones math.30, 217-274 (1975) · Zbl 0319.34024
[11] Moser, J.: Finitely many mass points on the line under the influence of an exponential potential?An integrable system. Battelle Rencontres summer lectures. Lecture Notes in Math. · Zbl 0323.70012
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[13] Whittaker, E. T.: A treatise on the analytical dynamics of particles and rigid bodies. New York: Dover 1904 · JFM 35.0682.01
[14] Flaschka, H., McLaughlin, D. W.: Canonically conjugate variables for the Korteweg-de Vries equation and the Toda Lattice. Preprint · Zbl 1109.35374
[15] Manakov, S. V.: Integration of discrete dynamical systems. Zhurnal Teor. Exp. Fiz.67, 543 (1974)
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