108 citations · 529 across the 96 of their papers we have counts for
10 papers · 1 filter
A representation formula for slice regular functions over slice-cones in several variables
Xinyuan Dou, Guangbin Ren, Irene Sabadini
The aim of this paper is to extend the so called slice analysis to a general case in which the codomain is a real vector space of even dimension, i.e. is of the form $\mathbb{R}^{2…
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…
Infinite order differential operators acting on entire hyperholomorphic functions
Daniel Alpay, Fabrizio Colombo, Stefano Pinton +2
Infinite order differential operators appear in different fields of Mathematics and Physics and in the last decades they turned out to be of fundamental importance in the study of…
Weak slice regular functions on the -dimensional quadratic cone of octonions
Xinyuan Dou, Guangbin Ren, Irene Sabadini +1
In the literature on slice analysis in the hypercomplex setting, there are two main approaches to define slice regular functions in one variable: one consists in requiring that the…
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…