On the symbol of nonlocal operators in Sobolev spaces |
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Authors: | A Yu Savin |
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Institution: | 1.Peoples’ Friendship University of Russia,Moscow,Russia |
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Abstract: | We consider nonlocal operators generated by pseudodifferential operators and the operator of shift along the trajectories
of an arbitrary diffeomorphism of a smooth closed manifold. We introduce the notion of symbol of such operators acting in
Sobolev spaces. As examples, we consider specific diffeomorphisms, namely, isometries and dilations. |
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Keywords: | |
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