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math.CV2024★ 1 cited
A unified theory of regular functions of a hypercomplex variable
Riccardo Ghiloni, Caterina Stoppato
This work proposes a unified theory of regularity in one hypercomplex variable: the theory of -regular functions. In the special case of quaternion-valued functions of one quate…
math.SP2024
Quaternionic resolvent equation and series expansion of the -resolvent operator
Riccardo Ghiloni, Vincenzo Recupero
In the present paper, we prove a resolvent equation for the -resolvent operator in the quaternionic framework. Exploiting this resolvent equation, we find a series exp…