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Seminar on Analysis, Differential Equations and Mathematical Physics
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On algebras generated by integral operators with homogeneous kernels O. G. Avsyankin Institute of Mathematics, Mechanics and Computer Sciences, Southern Federal University, Rostov-on-Don |
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Abstract: We consider two Banach algebras generated by multidimensional integral operators with homogeneous kernels. For each of these algebras, we construct a symbolic calculus. In terms of this calculus, we obtain the necessary and sufficient conditions for an operator in these algebras to be invertible and Fredholm. Language: English Website: https://msrn.tilda.ws/sl |
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