First steps towards $q$-deformed Clifford analysis
Martha Lina Zimmermann, Swanhild Bernstein, Baruch Schneider
TL;DR
This paper explores extending Jackson calculus into higher dimensions within Clifford analysis, aiming to develop a $q$-deformed framework for multivariable calculus.
Contribution
It introduces the initial steps towards formulating a $q$-deformed Clifford analysis, expanding the scope of Jackson calculus in higher-dimensional settings.
Findings
Proposed a $q$-deformation of Clifford analysis
Extended Jackson calculus to higher dimensions
Laid groundwork for future $q$-deformed multivariable calculus
Abstract
We consider the extension of the Jackson calculus into higher dimensions and specifically into Clifford analysis.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Advanced Algebra and Geometry · Mathematical Analysis and Transform Methods