PreprintCC BY-NC-ND 4.0arXiv
Revisiting Fischer decompositions by inframonogenic functions
Abstract
We explore Fischer decompositions from the perspective of inframonogenic functions in Clifford analysis, a non-commutative version of harmonic functions in Euclidean spaces. We study decomposition formulas for polynomial spaces involving inframonogenic and harmonic components, providing fresh insights into their algebraic structures and further important applications.
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BibTeX
@misc{santiesteban2026revisiting,
title = {{Revisiting Fischer decompositions by inframonogenic functions}},
author = {Daniel Alfonso Santiesteban and Ricardo Abreu Blaya and Juan Bory Reyes and Baruch Schneider},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.30045},
eprint = {2608.30045},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.30045},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Revisiting Fischer decompositions by inframonogenic functions
AU - Daniel Alfonso Santiesteban
AU - Ricardo Abreu Blaya
AU - Juan Bory Reyes
AU - Baruch Schneider
PY - 2026
DA - 2026/08/30
PB - arXiv
DO - 10.48550/arxiv.2608.30045
UR - https://arxiv.org/abs/2608.30045
AB - We explore Fischer decompositions from the perspective of inframonogenic functions in Clifford analysis, a non-commutative version of harmonic functions in Euclidean spaces. We study decomposition formulas for polynomial spaces involving inframonogenic and harmonic components, providing fresh insights into their algebraic structures and further important applications.
ER -