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math.CV2020
n-Regular Functions in Quaternionic Analysis
Igor Frenkel, Matvei Libine
In this paper we study left and right n-regular functions that originally were introduced in [FL4]. When n=1, these functions are the usual quaternionic left and right regular func…
math.CV2020
Clifford Analysis with Indefinite Signature
Matvei Libine, Ely Sandine
We extend constructions of classical Clifford analysis to the case of indefinite non-degenerate quadratic forms. We define (p,q)-left- and right-monogenic functions by means of Dir…