10 citations · 37 across the 44 of their papers we have counts for
6 papers · 1 filter
New characterizations of reproducing kernel Hilbert spaces and applications to metric geometry
Daniel Alpay, Palle Jorgensen
We give two new global and algorithmic constructions of the reproducing kernel Hilbert space associated to a positive definite kernel. We further present ageneral positive definite…
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…
Generalized Fock space and moments
Daniel Alpay, Paula Cerejeiras, Uwe Kaehler
In this paper we develop a framework to extend the theory of generalized stochastic processes in the Hida white noise space to more general probability spaces which include the gre…
On Pseudo-Spectral Factorization over the Complex Numbers and Quaternions
Daniel Alpay, Fabrizio Colombo, Izchak Lewkowicz +1
This paper is a continuation of the research of our previous work and considers quaternionic generalized Carathéodory functions and the related family of generalized positive funct…