Geodesic
Theory and methods of solving ill-posed problems
Itogi nauki i tehniki. Seriâ, Matematičeskij analiz, Itogi Nauki i Tekhniki. Seriya "Matematicheskii Analiz", Tome 20 (1982), pp. 116-178
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One gives a survey of the fundamental directions and results up to 1981, inclusively, regarding the topic mentioned in the title. 
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     author = {O. A. Liskovets},
     title = {Theory and methods of solving ill-posed problems},
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     pages = {116--178},
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O. A. Liskovets. Theory and methods of solving ill-posed problems. Itogi nauki i tehniki. Seriâ, Matematičeskij analiz, Itogi Nauki i Tekhniki. Seriya "Matematicheskii Analiz", Tome 20 (1982), pp. 116-178. http://geodesic.mathdoc.fr/item/INTM_1982_20_a2/