6 citations · 7 across the 6 of their papers we have counts for
12 papers
Discrete analytic functions, structured matrices and a new family of moment problems
Daniel Alpay, Fabrizio Colombo, Kamal Diki +2
Using Zeilberger generating function formula for the values of a discrete analytic function in a quadrant we make connections with the theory of structured reproducing kernel space…
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…
A note on the complex and bicomplex valued neural networks
Daniel Alpay, Kamal Diki, Mihaela Vajiac
In this paper we first write a proof of the perceptron convergence algorithm for the complex multivalued neural networks (CMVNNs). Our primary goal is to formulate and prove the pe…
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…
Fock and Hardy spaces: Clifford-Appell case
Daniel Alpay, Kamal Diki, Irene Sabadini
In this paper, we study a specific system of Clifford-Appell polynomials and in particular their product. Moreover, we introduce a new family of quaternionic reproducing kernel Hil…
On a polyanalytic a approach to noncommutative de Branges-Rovnyak spaces and Schur analysis
Daniel Alpay, Fabrizio Colombo, Kamal Diki +1
In this paper we begin the study of Schur analysis and de Branges-Rovnyak spaces in the framework of Fueter hyperholomorphic functions. The difference with other approaches is that…