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Seminar on Analysis, Differential Equations and Mathematical Physics
February 8, 2024 18:00–19:00, Rostov-on-Don, online, ссылка для подключения на странице семинара
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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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