Hilbert Boundary Value Problems for Hyper Monogenic Functions on The Hyperplane
Complex Variables
2022-03-01 v1
Abstract
This paper systematically studies Hilbert boundary value problems for hyper monogenic functions on the hyperplane for the solutions being of any integer orders at the infinity, where the negative order cases are new even when restricted to the complex plane context. The explicit solution formulas are given and the solvability conditions are specified. The results are proved through using the Clifford symmetric extension method to reduce Hilbert boundary value problems to Riemann boundary value problems.
Cite
@article{arxiv.2202.13586,
title = {Hilbert Boundary Value Problems for Hyper Monogenic Functions on The Hyperplane},
author = {Pei Dang and Jinyuan Du and Tao Qian},
journal= {arXiv preprint arXiv:2202.13586},
year = {2022}
}