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arXiv · 2608.30045

Revisiting Fischer decompositions by inframonogenic functions

Daniel Alfonso Santiesteban·Ricardo Abreu Blaya·Juan Bory Reyes·Baruch Schneider
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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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Daniel Alfonso Santiesteban, Ricardo Abreu Blaya, Juan Bory Reyes, Baruch Schneider. 2026-08-30. Revisiting Fischer decompositions by inframonogenic functions. https://arxiv.org/abs/2608.30045

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