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Mathematical analysis reveals unique representations and stability criteria for multi-quadratic functional equations, indicating structural robustness across distinct algebraic spaces.
In this paper, we characterize the general solution to a system of functional equations with respect to the multi-quadratic mappings by proving that any such mapping can be uniquely represented via a 2n-additive pairwise symmetric mapping. And we prove the stability results with respect to multi-quadratic mappings in two different algebraic settings.
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Bae et al. (2026) studied this question.
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