Geodesic
Transform operators in a~two-dimensional inverse problem for a~finite domain
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 25, Tome 230 (1995), pp. 253-263

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An approach to the solution of inverse problems of wave propagation at a fixed frequency based on using transform operators is suggested. A system of integral equations of the Gelfand–Levitan type is obtained. The uniqueness theorem for the refraction index in the analytic case is proved. Bibl. 6 titles. 
@article{ZNSL_1995_230_a17,
     author = {A. S. Starkov},
     title = {Transform operators in a~two-dimensional inverse problem for a~finite domain},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {253--263},
     publisher = {mathdoc},
     volume = {230},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_230_a17/}
}
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A. S. Starkov. Transform operators in a~two-dimensional inverse problem for a~finite domain. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 25, Tome 230 (1995), pp. 253-263. http://geodesic.mathdoc.fr/item/ZNSL_1995_230_a17/