ON SOME APPLICATIONS OF THE BOUNDARY CONTROL METHOD TO SPECTRAL ESTIMATION AND INVERSE PROBLEMS
Annotation
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 these problems and show that the solvability of these equations crucially depends on the controllability properties of the corresponding dynamical system and properties of the corresponding families of exponentials.
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