Integrable Lagrangian correspondences and the factorization of matrix polynomials

[1]  B. Dubrovin.  Theory of operators and real algebraic geometry , 1988 .

[2]  Boris Dubrovin,et al.  Completely integrable Hamiltonian systems associated with matrix operators and Abelian varieties , 1977 .

[3]  P. Lancaster,et al.  Factorization of selfadjoint matrix polynomials with constant signature , 1982 .

[4]  V. Arnold.  Mathematical Methods of Classical Mechanics , 1974 .

[5]  H. Knörrer.  Geodesics on quadrics and a mechanical problem of C. Neumann. , 1982 .

[6]  A. Veselov.  Integrable discrete-time systems and difference operators , 1988 .

[7]  K. Shi,et al.  Billiard systems on quadric surfaces and the Poncelet theorem , 1989 .

[8]  Anatoliĭ Timofeevich Fomenko,et al.  Euler equations on finite-dimensional Lie groups , 1978 .

[9]  A. Bobenko.  Real algebrogeometric solutions of the Landau-Lifshits equation in prym theta functions , 1985 .

[10]  J. Pöschel,et al.  Inverse spectral theory , 1986 .

[11]  P. Moerbeke,et al.  Completely Integrable Systems, Euclidean Lie-algebras, and Curves , 1980 .

[12]  M. Semenov-Tian-Shansky,et al.  Reduction of Hamiltonian systems, affine Lie algebras and Lax equations , 1979 .

[13]  W. Symes.  The QR algorithm and scattering for the finite nonperiodic Toda Lattice , 1982 .

[14]  Stefanos Pantazis,et al.  Prym varieties and the geodesic flow onSO(n) , 1986 .

[15]  A. Veselov.  Confocal surfaces and integrable billiards on the sphere and in the Lobachevsky space , 1990 .

[16]  J. Moser,et al.  Geometry of Quadrics and Spectral Theory , 1980 .

[17]  P. Deift,et al.  Matrix factorizations and integrable systems , 1989 .

[18]  Sergei Petrovich Novikov,et al.  The periodic problem for the Korteweg—de vries equation , 1974 .

[19]  J. Moser,et al.  Discrete versions of some classical integrable systems and factorization of matrix polynomials , 1991 .