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On Hypersingular Operators Associated with Peridynamics

Sh. A. AlimovNational University of Uzbekistan, Tashkent, 100174, UzbekistanSh. N. SheralievTashkent Branch, Lomonosov Moscow State University, Tashkent, 100060, Uzbekistan
Differential Equationsjournal2023en
ABI

Аннотация

For a hypersingular integral operator of the Calderón–Zygmund type associated with problems of peridynamics, we find a Hilbert space that is taken by this operator to the space of square integrable periodic functions.

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