23 citations · 40 across the 30 of their papers we have counts for
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math.CV2021
Generalized Appell polynomials and Fueter-Bargmann transforms in the polyanalytic setting
Antonino De Martino, Kamal Diki
Tnis paper deals with some special integral transforms in the setting of quaternionic valued slice polyanalytic functions. In particular, using the polyanalytic Fueter mappings it…
math.CV2021
Reproducing kernel Hilbert spaces of polyanalytic functions of infinite order
Daniel Alpay, Fabrizio Colombo, Kamal Diki +1
In this paper we introduce reproducing kernel Hilbert spaces of polyanalytic functions of infinite order. First we study in details the counterpart of the Fock space and related re…
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…