2 citations · 3 across the 4 of their papers we have counts for
5 papers
Carathéodory functions on Riemann surfaces and reproducing kernel spaces
Daniel Alpay, Ariel Pinhas, Victor Vinnikov
Carathéodory functions, i.e. functions analytic in the open upper half-plane and with a positive real part there, play an important role in operator theory, system theory and…
Commuting operators over Pontryagin spaces with applications to system theory
Daniel Alpay, Ariel Pinhas, Victor Vinnikov
In this paper we extend vessel theory, or equivalently, the theory of overdetermined systems to the Pontryagin space setting. We focus on realization theorems of the various c…
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…
Stochastic Wiener Filter in the White Noise Space
Daniel Alpay, Ariel Pinhas
In this paper we introduce a new approach to the study of filtering theory by allowing the system's parameters to have a random character. We use Hida's white noise space theory to…
Linear State space theory in the white noise space setting
D. Alpay, D. Levanony, A. Pinhas
We study state space equations within the white noise space setting. A commutative ring of power series in a countable number of variables plays an important role. Transfer functio…