Abstract
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.
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Translated from Matematicheskie Zametki, vol. 80, no. 6, 2006, pp. 814–824.
Original Russian Text Copyright © 2006 by D. V. Vozhzhov, V. A. Nogin.
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Vozhzhov, D.V., Nogin, V.A. Inversion of potential-type operators with symbols degenerate on hyperboloids and paraboloids. Math Notes 80, 770–779 (2006). https://doi.org/10.1007/s11006-006-0200-x
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DOI: https://doi.org/10.1007/s11006-006-0200-x