# A Cauchy-Kowalevski theorem for inframonogenic functions

**Authors:** Helmuth R. Malonek, Dixan Pe\~na Pe\~na, Frank Sommen

arXiv: 0911.0716 · 2009-11-05

## TL;DR

This paper establishes a Cauchy-Kowalevski theorem specifically for inframonogenic functions, which satisfy a particular differential system, expanding the theoretical understanding of these functions.

## Contribution

The paper introduces a Cauchy-Kowalevski theorem tailored for inframonogenic functions, providing new theoretical insights into their properties.

## Key findings

- Proves a Cauchy-Kowalevski theorem for inframonogenic functions
- Extends classical PDE theory to a new class of functions
- Provides foundational results for further research in this area

## Abstract

In this paper we prove a Cauchy-Kowalevski theorem for the functions satisfying the system DfD=0 (called inframonogenic functions).

## Full text

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## References

17 references — full list in the complete paper: https://tomesphere.com/paper/0911.0716/full.md

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Source: https://tomesphere.com/paper/0911.0716