Clifford Analysis: Theory, Methods, and Multidisciplinary Applications
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C: Mathematical Analysis".
Deadline for manuscript submissions: 30 June 2026 | Viewed by 33
Special Issue Editor
Special Issue Information
Dear Colleagues,
This Special Issue, “Clifford Analysis: Theory, Methods, and Multidisciplinary Applications”, offers a curated selection of pioneering research situated at the intersection of algebra, analysis, and geometry. Clifford analysis, as an extension of complex analysis into higher dimensions, provides powerful algebraic and analytical tools for exploring monogenic functions, Dirac-type operators, and the concept of conformal invariance. This Special Issue aims to deepen our understanding of the theoretical foundations of Clifford analysis while showcasing its growing relevance across a range of disciplines.
We welcome contributions that address both the theoretical development and the applied aspects of the field. Topics of interest include, but are not limited to, advancements in partial differential equations, hypercomplex function theory, geometric calculus, and their applications in mathematical physics, computer vision, and signal/image processing. By integrating foundational insights with practical methodologies, this Special Issue demonstrates how Clifford algebras provide a cohesive framework that effectively connects the domains of pure and applied mathematics. t is intended as a resource for both specialists in geometric analysis and those exploring novel applications of Clifford theory in broader scientific contexts.
Dr. Ji-eun Kim
Guest Editor
Manuscript Submission Information
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Keywords
- clifford analysis
- monogenic functions
- dirac operator
- hypercomplex analysis
- partial differential equations
- geometric calculus
- mathematical physics
- signal and image processing
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