On some applications of the Boundary Control method to spectral estimation and inverse problems

Abstract

We consider applications of the Boundary Control (BC) method to generalized spectral estimation problems and to inverse source problems. We derive the equations of the BC method for this problems and show that solvability of this equations crucially depends on the controllability properties of the corresponding dynamical system and properties of corresponding families of exponentials.

References in corpus (3)

• The boundary control approach to inverse spectral theory
• Unified approach to classical equations of inverse problem theory
• Spectral Estimation Problem in Infinite Dimensional Spaces

Cited by in corpus (5)

• Dynamical inverse problem for the discrete Schrödinger operator
• Relationship between different types of inverse data for the one-dimensional Schrödinger operator on a half-line
• On an application of the Boundary control method to classical moment problems
• Inverse Problem for the Schrödinger Equation with Non-self-adjoint Matrix Potential
• Discrete dynamical systems: inverse problems and related topics