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math.AP2026
Dynamic representation of the Weyl solution for the Schrödinger operator on the semi-axis
A. S. Mikhaylov, V. S. Mikhaylov
We derive a representation formula for the Weyl solution to the Schrödinger operator on the semi-axis for certain classes of potentials. Our approach is based on relations with th…
math.AP2025
On the Weyl function for complex Jacobi matrices
A. S. Mikhaylov, V. S. Mikhaylov
We derive a new representation for the Weyl function associated with the complex Jacobi matrix in the finite and semi-infinite cases. In our approach we exploit connections to the…
math.AP2025
On the complex moment problem as a dynamic inverse problem for a discrete system
A. S. Mikhaylov, V. S. Mikhaylov
We consider the complex moment problem, that is the problem of constructing a positive Borel measure on from a given set of moments. We relate this problem to the dyna…