23 citations · 40 across the 30 of their papers we have counts for
5 papers · 1 filter
Poly slice monogenic functions, Cauchy formulas and the PS-functional calculus
Daniel Alpay, Fabrizio Colombo, Kamal Diki +1
Since 2006 the theory of slice hyperholomorphic functions and the related spectral theory on the S-spectrum have had a very fast development. This new spectral theory based on the…
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…
On the global operator and Fueter mapping theorem for slice polyanalytic functions
Daniel Alpay, Kamal Diki, Irene Sabadini
In this paper, we prove that slice polyanalytic functions on quaternions can be considered as solutions of a power of some special global operator with nonconstant coefficients as…
On the quaternionic short-time Fourier and Segal-Bargmann transforms
Antonino De Martino, Kamal Diki
In this paper, we study a special one dimensional quaternion short-time Fourier transform (QSTFT). Its construction is based on the slice hyperholomorphic Segal-Bargmann transform.…