A Cauchy-Kowalevski theorem for inframonogenic functions
Helmuth R. Malonek, Dixan Pe\~na Pe\~na, Frank Sommen
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.
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).
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic and Geometric Analysis · Holomorphic and Operator Theory · Mathematical Analysis and Transform Methods