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math.CV2026
Dual slice functions and dual quaternionic polynomials
Giulio Binosi, Caterina Stoppato
This work constructs a new function class over the algebra of dual quaternions: dual slice functions, which include one-sided dual quaternionic polynomials. The peculiar properties…
math.CV2026
Dunkl regularity over alternative -algebras
Giulio Binosi, Alessandro Perotti
We characterise slice-regularity of functions over a real alternative *-algebra using operators that arise in Dunkl operator theory. We present a unifying perspective on hypercompl…