Geodesic
Inversion of potential-type operators with symbols degenerate on hyperboloids and paraboloids
Matematičeskie zametki, Tome 80 (2006) no. 6, pp. 814-824

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The method of approximative inverse operators is applied to the inversion of certain potential-type operators with symbols degenerate on hyperboloids or paraboloids. Using this method, the inversion is constructed as the limit of a sequence of convolutions with summable kernels that are expressed in terms of elementary or special functions. 
@article{MZM_2006_80_6_a1,
     author = {D. V. Vozhzhov and V. A. Nogin},
     title = {Inversion of potential-type operators with symbols degenerate on hyperboloids and paraboloids},
     journal = {Matemati\v{c}eskie zametki},
     pages = {814--824},
     publisher = {mathdoc},
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     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2006_80_6_a1/}
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D. V. Vozhzhov; V. A. Nogin. Inversion of potential-type operators with symbols degenerate on hyperboloids and paraboloids. Matematičeskie zametki, Tome 80 (2006) no. 6, pp. 814-824. http://geodesic.mathdoc.fr/item/MZM_2006_80_6_a1/