Abstract
The following functional equation is solved:
where x =(x1,…,xs−1), for the unknowns \(f,{\psi _j}:\mathbb{C} \to \mathbb{C}\) and \({\phi _j}:{\mathbb{C}^{s - 1}} \to \mathbb{C}\) for s ≥ 3 and m ≤ 4s − 5.
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This work was supported by the Russian Foundation for Basic Research under grant 18-01-00638.
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Russian Text © The Author(s), 2020, published in Matematicheskie Zametki, 2020, Vol. 107, No. 1, pp. 59–73.
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Illarionov, A.A. On a Multilinear Functional Equation. Math Notes 107, 80–92 (2020). https://doi.org/10.1134/S0001434620010083
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DOI: https://doi.org/10.1134/S0001434620010083