On quaternionic functions
Pierre Dolbeault (IMJ)
TL;DR
This paper explores various classes of quaternionic functions, introduces the concept of residue current for right inverses, and analyzes their properties in specific cases, contributing to the mathematical understanding of quaternionic analysis.
Contribution
It introduces the residue current of the right inverse of quaternionic functions and studies different sets of quaternionic functions, expanding the theoretical framework.
Findings
Residue current of right inverse defined in specific cases
Characterization of quaternionic function sets
Insights into quaternionic function properties
Abstract
Several sets of quaternionic functions are described and studied. Residue current of the right inverse of a quaternionic function is introduced in particular cases.
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Taxonomy
TopicsElasticity and Wave Propagation · Algebraic and Geometric Analysis · Aerospace Engineering and Control Systems