47 citations · 297 across the 36 of their papers we have counts for
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Inverse problem for semi-infinite Jacobi matrices and associated Hilbert spaces of analytic functions
Alexander Mikhaylov, Victor Mikhaylov
We consider the dynamic problems for the discrete systems with discrete time associated with finite and semi-infinite Jacobi matrices. The result of the paper is a procedure of ass…
Construction of solutions of Toda lattices by the classical moment problem
Alexander Mikhaylov, Victor Mikhaylov
Making use of formulas of J. Moser for a finite-dimensional Toda lattices, we derive the evolution law for moments of the spectral measure of the semi-infinite Jacobi operator asso…
On an application of the Boundary control method to classical moment problems
Alexander Mikhaylov, Victor Mikhaylov
We establish relationships between the classical moments problems which are problems of a construction of a measure supported on a real line, on a half-line or on an interval from…
Inverse dynamic and spectral problems for the one-dimensional Dirac system on a finite tree
A. S. Mikhaylov, V. S. Mikhaylov, G. E. Murzabekova
We consider inverse dynamic and spectral problems for the one dimensional Dirac system on a finite tree. Our aim will be to recover the topology of a tree (lengths and connectivity…
Dynamical inverse problem for Jacobi matrices
A. S. Mikhaylov, V. S. Mikhaylov
We consider the inverse dynamical problem for the dynamical system with discrete time associated with the semi-infinite Jacobi matrix. We solve the inverse problem for such a syste…