Showing math.CVShow all
2 papers · 1 filter
math.CV2019
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…
math.CV2018
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…