2 citations · 3 across the 2 of their papers we have counts for
2 papers
math.AP2025★ 2 cited
On the construction of de Branges spaces for dynamical systems associated with finite Jacobi matrices
A. S. Mikhaylov, V. S. Mikhaylov
We consider dynamical systems with boundary control associated with finite Jacobi matrices. Using the method previously developed by the authors, we associate with these systems sp…
math.SP2025★ 1 cited
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…