10 citations · 37 across the 45 of their papers we have counts for
4 papers · 2 filters
On slice polyanalytic functions of a quaternionic variable
Daniel Alpay, Kamal Diki, Irene Sabadini
In this paper, we introduce the quaternionic slice polyanalytic functions and we prove some of their properties. Then, we apply the obtained results to begin the study of the quate…
Positive and generalized positive real lemma for slice hyperholomorphic functions
D. Alpay, F. Colombo, I. Lewkowicz +1
In this paper we prove a quaternionic positive real lemma as well as its generalized version, in case the associated kernel has negative squares for slice hyperholomorphic function…
Composition of rational functions: state-space realization and applications
Daniel Alpay, Izchak Lewkowicz
We define two versions of compositions of matrix-valued rational functions of appropriate sizes and whenever analytic at infinity, offer a set of formulas for the corresponding sta…
de Branges spaces on compact Riemann surfaces and a Beurling-Lax type theorem
Daniel Alpay, Ariel Pinhas, Victor Vinnikov
Using the notion of commutative operator vessels, this work investigates de Branges-Rovnyak spaces whose elements are sections of a line bundle of multiplicative half-order differe…