A Riemann Boundary Value Problem in a Two-Dimensional Commutative Associative Banach Algebra
Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Plaksa, S. A., Pukhtaievych, R.
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7133188508
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