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math.PR2008
Linear stochastic systems: a white noise approach
Daniel Alpay, David Levanony
Using the white noise setting, in particular the Wick product, the Hermite transform, and the Kondratiev space, we present a new approach to study linear stochastic systems, where…
math.CV2008
A characterization of Schur multipliers between character-automorphic Hardy spaces
Daniel Alpay, Mamadou Mboup
We give a new characterization of character-automorphic Hardy spaces of order 2 and of their contractive multipliers in terms of de Branges Rovnyak spaces. Keys tools in our argume…
math.PR2008
Rational functions associated with the white noise space and related topics
Daniel Alpay, David Levanony
Motivated by the hyper-holomorphic case we introduce and study rational functions in the setting of Hida's white noise space. The Fueter polynomials are replaced by a basis compute…