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

2025/05/14 by Avdonin, S. A., Mikhaylov, A. S., Mikhaylov, V. S. · 1 citation
#FOS: Mathematics #Optimization and Control (math.OC) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2505.09410

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.

Citations

• The boundary control approach to inverse spectral theory

Cited by

• Dynamical inverse problem for the discrete Schrödinger operator

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