Geodesic
Expansions with respect to squares, symplectic and poisson structures associated with the Sturm–Liouville problem. I
Teoretičeskaâ i matematičeskaâ fizika, Tome 72 (1987) no. 3, pp. 323-339 
V. A. Arkad'ev; A. K. Pogrebkov; M. K. Polivanov. Expansions with respect to squares, symplectic and poisson structures associated with the Sturm–Liouville problem. I. Teoretičeskaâ i matematičeskaâ fizika, Tome 72 (1987) no. 3, pp. 323-339. http://geodesic.mathdoc.fr/item/TMF_1987_72_3_a0/
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     title = {Expansions with respect to squares, symplectic and poisson structures associated with the {Sturm{\textendash}Liouville} {problem.~I}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the generic position case properties of the variations of scattering data are studied for a smooth fast decreasing potential of the Sturm–Liouville problem. Orthogonality and completeness relations for bilinear combinations of the lost solutions of this problem are formulated in a more precise form and properties of the recursion operator and its resolvent are thoroughly analysed.

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