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Article

On Eigenfunctions and Eigenvalues of a Nonlocal Laplace Operator with Multiple Involution

by 1,*,† and 2,†
1
Department of Mathematics, Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkistan 161200, Kazakhstan
2
Department of Mathematical Analysis, South Ural State University (NRU), 454080 Chelyabinsk, Russia
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Academic Editors: Higinio Ramos and Osama Moaaz
Symmetry 2021, 13(10), 1781; https://doi.org/10.3390/sym13101781
Received: 10 August 2021 / Revised: 15 September 2021 / Accepted: 18 September 2021 / Published: 25 September 2021
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. View Full-Text
Keywords: nonlocal Laplace operator; multiple involution; Dirichlet problem; eigenfunctions; eigenvalues nonlocal Laplace operator; multiple involution; Dirichlet problem; eigenfunctions; eigenvalues
MDPI and ACS Style

Turmetov, B.; Karachik, V. On Eigenfunctions and Eigenvalues of a Nonlocal Laplace Operator with Multiple Involution. Symmetry 2021, 13, 1781. https://doi.org/10.3390/sym13101781

AMA Style

Turmetov B, Karachik V. On Eigenfunctions and Eigenvalues of a Nonlocal Laplace Operator with Multiple Involution. Symmetry. 2021; 13(10):1781. https://doi.org/10.3390/sym13101781

Chicago/Turabian Style

Turmetov, Batirkhan, and Valery Karachik. 2021. "On Eigenfunctions and Eigenvalues of a Nonlocal Laplace Operator with Multiple Involution" Symmetry 13, no. 10: 1781. https://doi.org/10.3390/sym13101781

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