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arXiv · 2602.24137

A Riemann Boundary Value Problem in a Two-Dimensional Commutative Associative Banach Algebra

S. A. Plaksa·R. Pukhtaievych
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Abstract

We consider a Riemann boundary value problem for monogenic functions in a two-dimensional commutative associative Banach algebra. We prove theorems on the existence of a solution to this problem under different assumptions on the coefficient and free term of the problem, and give an explicit formula for the solution.

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S. A. Plaksa, R. Pukhtaievych. 2026-02-27. A Riemann Boundary Value Problem in a Two-Dimensional Commutative Associative Banach Algebra. https://arxiv.org/abs/2602.24137

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