Geodesic
Inverse dynamic problems for canonical systems and de Branges spaces
Nanosistemy: fizika, himiâ, matematika, Tome 9 (2018) no. 2, pp. 215-224

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We show the equivalence of inverse problems for different dynamical systems and corresponding canonical systems. For canonical system with general Hamiltonian we outline the strategy of studying the dynamic inverse problem and procedure of construction of corresponding de Branges space.
Keywords: inverse problem, Boundary Control method, de Branges spaces, Schrödinger operator, Dirac system, canonical systems.
Mots-clés : Jacobi matrices 
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     author = {A. S. Mikhailov and V. S. Mikhailov},
     title = {Inverse dynamic problems for canonical systems and de {Branges} spaces},
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A. S. Mikhailov; V. S. Mikhailov. Inverse dynamic problems for canonical systems and de Branges spaces. Nanosistemy: fizika, himiâ, matematika, Tome 9 (2018) no. 2, pp. 215-224. http://geodesic.mathdoc.fr/item/NANO_2018_9_2_a8/