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Inversion of potential-type operators with symbols degenerate on hyperboloids and paraboloids |
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| Authors: | D. V. Vozhzhov V. A. Nogin |
| Affiliation: | (1) Rostov State University, Russia |
| 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. |
| Keywords: | potential-type operator approximative inverse operator convolution with summable kernel Fourier transform Lizorkin class Gauss-Weierstrass integral Schwarz space |
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