Geodesic
Operator integral in multidimensional spectral Inverse Problem
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 14, Tome 215 (1994), pp. 9-37

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An approach to the Inverse Problems based upon the Boundary Control Theory (BC-method; M. Belishev, 1986) is developed. Working effectively in the Inverse Problems, M. Brodskii's operator integral is introduced. It has a dynamical nature connected with a propogation of discontinuities of the wave fields. Operator integral is applied to solve the problem of recovering of a potential in the Schrödinger operator on a Riemannian manifold via its spectral data. Bibliography: 27 titles. 
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     author = {M. I. Belishev and A. P. Kachalov},
     title = {Operator integral in multidimensional spectral {Inverse} {Problem}},
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     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1994_215_a0/}
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M. I. Belishev; A. P. Kachalov. Operator integral in multidimensional spectral Inverse Problem. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 14, Tome 215 (1994), pp. 9-37. http://geodesic.mathdoc.fr/item/ZNSL_1994_215_a0/