Inverse Theory, pp.770-785, 2001. ,
DOI : 10.1016/B978-012613760-6/50041-3
Bound states for Schrödinger Hamiltonians: phase space methods and applications, Rev. Math. Phys, vol.35, pp.504-547, 1996. ,
Spectral Transform and Solitons, 1982. ,
DOI : 10.1007/978-3-642-82135-6_2
A reduced model of pulsatile flow in an arterial compartment, Chaos, Solitons & Fractals, vol.34, issue.2, pp.594-605, 2007. ,
DOI : 10.1016/j.chaos.2006.03.096
A semi-classical inverse problem ii: Reconstruction of the potential, 2008. ,
Inverse scattering on the line, Communications on Pure and Applied Mathematics, vol.45, issue.2, pp.121-251, 1979. ,
DOI : 10.1002/cpa.3160320202
Nonlinear equations of Korteweg-de Vries type, finite-zone linear operators, and Abelian varieties, Russian Math. Surveys, pp.31-59, 1976. ,
The Inverse Scattering Transformation and the Theory of Solitons, 1983. ,
Properties of the S-matrix of the one-dimensional Schrödinger equation, Trudy Mat. Inst. Steklov, vol.73, pp.314-336, 1964. ,
Korteweg-de Vries equation and generalizations VI. Methods for exact solution, Communications on Pure and Applied Mathematics, pp.97-133, 1974. ,
On the determination of a differential equation from its spectral function, Amer, Math. Soc. Transl, vol.2, pp.253-304, 1955. ,
TRACE FORMULAS AND CONSERVATION LAWS FOR NONLINEAR EVOLUTION EQUATIONS, Reviews in Mathematical Physics, vol.06, issue.01, pp.51-95, 1994. ,
DOI : 10.1142/S0129055X94000055
Some inverse spectral results for semi-classical schrödinger operators, 2005. ,
Riesz means of bound states and semiclassical limit connected with a Lieb-Thirring's conjecture I, Asymptotic Analysis, pp.91-103, 1990. ,
Theory and applications of spectral methods, in Spectral Methods for Partial Differential Equations, pp.1-54, 1984. ,
Asymptotique semi-classique uniforme de la fonction spectrale d'opérateurs de Schrödinger, C.R. Acad. Sci. Paris, t, vol.310, pp.99-104, 1990. ,
Arterial blood pressure analysis based on scattering transform I, 2007 29th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 2007. ,
DOI : 10.1109/IEMBS.2007.4353544
URL : https://hal.archives-ouvertes.fr/inria-00139527
Separation of arterial pressure into a nonlinear superposition of solitary waves and a windkessel flow, Biomedical Signal Processing and Control, vol.2, issue.3, pp.163-170, 2007. ,
DOI : 10.1016/j.bspc.2007.05.004
Validation of a new method for stroke volume variation assessment: a comparison with the picco technique ,
Arterial blood pressure analysis based on scattering transform II, 2007 29th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 2007. ,
DOI : 10.1109/IEMBS.2007.4353545
URL : https://hal.archives-ouvertes.fr/inria-00139529
Quantum Mechanics: Non-Relativistic Theory, 1958. ,
Sharp Lieb-Thirring inequalities in high dimensions, Acta Mathematica, vol.184, issue.1, pp.87-111, 2000. ,
DOI : 10.1007/BF02392782
The small dispersion limit of the Korteweg-de Vries equation. I, Communications on Pure and Applied Mathematics, vol.8, issue.3, pp.253-290, 1983. ,
DOI : 10.1002/cpa.3160360302
Sturm-Liouville operators and applications, 1986. ,
First KdV integrals and absolutely continuous spectrum for 1-d Schrödinger operator, Commun. Math. Phys, pp.216-195, 2001. ,
A new approach to the inverse scattering and spectral problems for the Sturm-Liouville equation, Annalen der Physik, vol.7, issue.4, pp.321-338, 1998. ,
DOI : 10.1002/(SICI)1521-3889(199811)7:4<321::AID-ANDP321>3.0.CO;2-X
Methods of modern mathematical physics, IV. Analysis of operators theory, 1978. ,
Parsimonious Representation of Signals Based on Scattering Transform, IFAC'08, 2008. ,
DOI : 10.3182/20080706-5-KR-1001.02104
URL : https://hal.archives-ouvertes.fr/hal-00854784