This is a preview of subscription content, access via your institution.
Preview
Unable to display preview. Download preview PDF.
Bibliographie
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.
L. de BRANGES-Some Hilbert Spaces of Entire Functions, Prentice-Hall, Englewood Cliffs, N. J., 1968.
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.
H. FLASCHKA-The Toda lattice, I, Phys. Rev. B 9, (1974), 1924–1925.
H. FLASCHKA-The Toda lattice, II, Progr. Theoretical Phys., 51 (1974), 703–716.
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.
C. S. GARDNER-Korteweg-de Vries equation and generalizations IV, The Kortewegde Vries equation as a Hamiltonian system, J. Math. Phys., 12 (1971), 1548–1551.
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.
G. BORG-Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe, Acta Math. 78 (1945), 1–96.
A. R. ITS, V. B. MATVEEV-The periodic Korteweg-de Vries equation, Funkt. Anal. i ego Pril., 9 (1975).
M. KAC, P. van MOERBEKE-Some probabilistic aspects of scattering theory, Compte-Rendus de la "Conf. on Functional Integr. and Appl.", 11, 4, Londres (1974), Oxford University Press.
M. KAC, P. van MOERBEKE-On some isospectral second order differential operators, Proc. Nat. Acad. Sci. USA, 71, 6 (1974), 2350–2351.
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.
M. KAC, P. van MOERBEKE-On some periodic Toda lattices, Proc. Nat. Acad. Sci., 72, 4 (1975), 1627–1629.
M. KAC, P. van MOERBEKE-The solution of the periodic Toda lattice, Proc. Nat. Acad. Sci., 72, 8 (1975), 2879–2880.
P. D. LAX-Integrals of nonlinear equations of evolution and solitary waves, Comm. Pure Appl. Math., 21 (1968), 467–490.
P. D. LAX-Periodic solutions of the Korteweg-de Vries equation, Lectures in Appl. Math., 15 (1974), A.M.S. Providence R.I.
P. D. LAX-Periodic solutions of the Korteweg-de Vries equation, Comm. Pure Appl. Math., 28 (1975), 141–188.
H. P. McKEAN, P. van MOERBEKE-The spectrum of Hill’s equation (n < ∞), Inventiones Mathematicae, 30 (1975), 217–274.
H. P. McKEAN, E. TRUBOWITZ-The spectrum of Hill’s equation …, Comm. Pure Applied Math., (1976), à paraître.
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.
J. MOSER-Three integrable Hamiltonian systems connected with isospectral deformations, Advances in Math., 15, 2 (1975), 197–220.
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.
P. van MOERBEKE-The spectrum of Jacobi matrices, Inventiones Math., 37(1976), 45–81.
V. I. ARNOLD et A. AVEZ-Problèmes ergodiques de la mécanique classique, Gauthier-Villars, Paris, 1967.
M. ADLER-A new integrable system and a conjecture by Calogero, Bull. Amer. Math. Soc., (1976), à paraître.
Rights and permissions
Copyright information
© 1977 N. Bourbaki
About this paper
Cite this paper
McKean, H.P., van Moerbeke, P. (1977). Sur le spectre de quelques opérateurs et les variétés de jacobi. In: Séminaire Bourbaki vol. 1975/76 Exposés 471–488. Lecture Notes in Mathematics, vol 567. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0096061
Download citation
DOI: https://doi.org/10.1007/BFb0096061
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-08064-0
Online ISBN: 978-3-540-37514-2
eBook Packages: Springer Book Archive
