A Riemann Boundary Value Problem in a Two-Dimensional Commutative Associative Banach Algebra
Complex Variables
2026-03-02 v1
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.
Keywords
Cite
@article{arxiv.2602.24137,
title = {A Riemann Boundary Value Problem in a Two-Dimensional Commutative Associative Banach Algebra},
author = {S. A. Plaksa and R. Pukhtaievych},
journal= {arXiv preprint arXiv:2602.24137},
year = {2026}
}