Tolstov`s Theorem in the Commutative Banach Algebra A3

M. V. Tkachuk

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arXiv · 2605.16185

Tolstov`s Theorem in the Commutative Banach Algebra A3

M. V. Tkachuk

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Abstract

In this paper, the conditions of monogenicity are weakened for functions with values in a three-dimensional commutative algebra over the field of complex numbers. By monogenicity we mean continuity and the existence of the G\^ateaux derivative.

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M. V. Tkachuk. 2026-05-15. Tolstov`s Theorem in the Commutative Banach Algebra A3. https://arxiv.org/abs/2605.16185

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