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math.OC2019
Quantitatively Hyper-Positive Real Functions
Daniel Alpay, Izchak Lewkowicz
Hyper-Positive real, matrix-valued, rational functions are associated with absolute stability (the Lurie problem). Here, quantitative subsets of Hyper-positive functions, related t…
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…