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<p>We study some harmonicity properties of slice regular functions in one and several Clifford variables and give explicit formulas of the iterated Laplacian applied to slice regular functions and to their spherical derivative, which are new also in the one variable context. We propose several Almansi-type decompositions for slice functions in several Clifford variables. As a consequence, we establish a several variables version of Fueter–Sce theorem.</p>

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Polyharmonicity, Almansi-type decompositions and Fueter–Sce theorem for several Clifford variables

  • 期刊论文

  • 发表日期：

    2025年8月5日

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  • Giulio Binosi

摘要

We study some harmonicity properties of slice regular functions in one and several Clifford variables and give explicit formulas of the iterated Laplacian applied to slice regular functions and to their spherical derivative, which are new also in the one variable context. We propose several Almansi-type decompositions for slice functions in several Clifford variables. As a consequence, we establish a several variables version of Fueter–Sce theorem.