3 papers
math.CV2022
On the connection between the Fueter-Sce-Qian theorem and the generalized CK-extension
Antonino De Martino, Kamal Diki, Alí Guzmán Adán
The Fueter-Sce-Qian theorem provides a way of inducing axial monogenic functions in from holomorphic intrinsic functions of one complex variable. This result was…
math.CV2021
On the polyanalytic short-time Fourier transform in the quaternionic setting
Antonino De Martino, Kamal Diki
In this paper, we consider a quaternionic short-time Fourier transform (QSTFT) with normalized Hermite functions as windows. It turns out that such a transform is based on the rece…
math.CV2021
On the Quadratic Cone of
Cinzia Bisi, Antonino De Martino
In this paper we study the following type of functions , where is the quadratic cone of the algebr…