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arXiv · 2502.08809

An analog of the Hille theorem for hypercomplex functions in a finite-dimensional commutative algebra

S. A. Plaksa·V. S. Shpakivskyi·M. V. Tkachuk
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Abstract

We prove that a locally bounded and differentiable in the sense of Gateaux function given in a finite-dimensional commutative Banach algebra over the complex field is also differentiable in the sense of Lorch.

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S. A. Plaksa, V. S. Shpakivskyi, M. V. Tkachuk. 2025-02-12. An analog of the Hille theorem for hypercomplex functions in a finite-dimensional commutative algebra. https://arxiv.org/abs/2502.08809

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