Geodesic
Wave bases in multidimensional inverse problems
Sbornik. Mathematics, Tome 67 (1990) no. 1, pp. 23-42

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The author gives a detailed account of an approach to multidimensional inverse problems that utilizes ideas and results of the theory of boundary control (J.-L. Lions, D. L. Russell, and others). Within the bounds of a single scheme, formulations of two types are considered: spectral and time-dependent. Multidimensional analogs to the classical Gel'fand–Levitan equations are derived. The potential of the approach and some ideas on numerical realization are discussed. Bibliography: 15 titles. 
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     author = {M. I. Belishev},
     title = {Wave bases in multidimensional inverse problems},
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M. I. Belishev. Wave bases in multidimensional inverse problems. Sbornik. Mathematics, Tome 67 (1990) no. 1, pp. 23-42. http://geodesic.mathdoc.fr/item/SM_1990_67_1_a1/