Sur le spectre de quelques opérateurs et les variétés de Jacobi
Séminaire Bourbaki : vol. 1975/76, exposés 471-488, Séminaire Bourbaki, no. 18 (1977), Exposé no. 474, 15 p. 
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McKean, Henry P.; van Moerbeke, Pierre. Sur le spectre de quelques opérateurs et les variétés de Jacobi, dans Séminaire Bourbaki : vol. 1975/76, exposés 471-488, Séminaire Bourbaki, no. 18 (1977), Exposé no. 474, 15 p.. https://www.numdam.org/item/SB_1975-1976__18__54_0/

[1] B.A. Dubrovin, S.P. Novikov - Periodic and conditionally periodic analogues of multisoliton solutions of the Korteweg-de Vries equation, Dokl. Akad. Nauk U.S.S.R., 6 (1974), 2131-2144. | MR

[2] L. De Branges - Some Hilbert Spaces of Entire Functions, Prentice-Hall, Englewood Cliffs, N. J., 1968. | Zbl | MR

[3] L. Faddeev and V.E. Zakharov - Korteweg-de Vries equation : a completely integrable Hamiltonian system, Funkt. Anal. Priloz., 5 (1971), 18-27, Traduction dans Functional analysis and its application. | Zbl | MR

[4] H. Flaschka - The Toda lattice, I , Phys. Rev. B 9, (1974), 1924-1925. | Zbl | MR

[5] H. Flaschka - The Toda lattice, II, Progr. Theoretical Phys., 51 (1974), 703- 716. | Zbl | MR

[6] C.S. Gardner, J.M. Greene, M.D. Kruskal and R.M. Miura - Method for solving the Korteweg-de Vries equation, Phys. Rev. letters, 19 (1967), 1095-1097. | Zbl

[7] C.S. Gardner - Korteweg-de Vries equation and generalizations IV, The Korteweg-de Vries equation as a Hamiltonian system, J. Math. Phys., 12 (1971), 1548- 1551. | Zbl | MR

[8] C.S. Gardner, J.M. Greene, M.D. Kruskal and R.M. Miura - Korteweg-de Vries equation and generalizations, VI Methods for exact solutions, Comm. Pure Appl. Math., 27 (1974), 97-133. | Zbl | MR

[9] G. Borg - Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe, Acta Math. 78 (1945), 1-96. | Zbl | MR

[10] A.R. Its, V.B. Matveev - The periodic Korteweg-de Vries equation, Funkt. Anal. i ego Pril., 9 (1975).

[11] M. Kac, P. Van Moerbeke - Some probabilistic aspects of scattering theory, Compte-Rendus de la "Conf. on Functional I ntegr. and Appl"., 11, 4, Londres (1974), Oxford University Press. | Zbl | MR

[12] M. Kac, P. Van Moerbeke - On some isospectral second order differential operators, Proc. Nat. Acad. Sci. USA, 71, 6 (1974), 2350-2351. | Zbl | MR

[13] M. Kac, P. Van Moerbeke - On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices, Adv. in Math., 16, 2 (1975), 160-169. | Zbl | MR

[14] M. Kac, P. Van Moerbeke - On some periodic Toda lattices, Proc. Nat. Acad. Sci., 72, 4 (1975), 1627-1629. | Zbl | MR

[15] M. Kac, P. Van Moerbeke - The solution of the periodic Toda lattice, Proc. Nat. Acad. Sci., 72, 8 (1975), 2879-2880. | Zbl | MR

[16] P.D. Lax - Integrals of nonlinear equations of evolution and solitary waves, Comm. Pure Appl. Math., 21 (1968), 467-490. | Zbl | MR

[17] P.D. Lax - Periodic solutions of the Korteweg-de Vries equation, Lectures in Appl. Math., 15 (1974), A.M.S. Providence R.I. | MR

[18] P.D. Lax - Periodic solutions of the Korteweg-de Vries equation, Comm. Pure Appl. Math., 28 (1975), 141-188. | Zbl | MR

[19] H.P. Mckean, P. Van Moerbeke - The spectrum of Hill's equation (n < ∞), Inventiones Mathematicae, 30 (1975), 217-274. | Zbl

[20] H.P. Mckean, E. Trubowitz - The spectrum of Hill's equation ..., Comm. Pure Applied Math., (1976), à paraître. | MR

[21] J. Moser - Finitely many mass points on the line under the influence of an exponential potential, An integrable system, Battelle Rencontres (Seattle) Summer lectures, Springer-Verlag Lecture Notes in Physics, 1974. | Zbl | MR

[22] J. Moser - Three integrable Hamiltonian systems connected with isospectral deformations, Advances in Math., 16, 2 (1975), 197-220. | Zbl | MR

[23] S.P. Novikov - The periodic problem for the Korteweg-de Vries equation, Funkt. Anal. i ego Pril., 8 (1974), 54-66, Traduction en anglais dans Funct. Anal., (janv. 1975), 236-246. | Zbl | MR

[24] P. Van Moerbeke - The spectrum of Jacobi matrices, Inventiones Math., 37(1976), 45-81. | Zbl | MR

[25] V.I. Arnold et A. Avez - Problèmes ergodiques de la mécanique classique, Gauthier-Villars, Paris, 1967. | Zbl | MR

[26] M. Adler - A new integrable system and a conjecture by Calogero, Bull. Amer. Math. Soc., (1976), à paraître.