On Eigenfunctions and Eigenvalues of a Nonlocal Laplace Operator with Multiple Involution
Batirkhan TurmetovDepartment of Mathematics, Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkistan 161200, KazakhstanВ. В. КарачикDepartment of Mathematical Analysis, South Ural State University (NRU), 454080 Chelyabinsk, Russia
2021en
ABI
Аннотация
We study the eigenfunctions and eigenvalues of the boundary value problem for the nonlocal Laplace equation with multiple involution. An explicit form of the eigenfunctions and eigenvalues for the unit ball are obtained. A theorem on the completeness of the eigenfunctions of the problem under consideration is proved.
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