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Representation formulas for Hardy space functions through the Cuntz relations and new interpolation problems

2011/04/04 by Alpay, Daniel, Jorgensen, Palle, Lewkowicz, Izchak +1
#42C40 #47A57 #93B28 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1104.0621

Abstract

We introduce connections between the Cuntz relations and the Hardy space H2 of the open unit disk . We then use them to solve a new kind of multipoint interpolation problem in H2, where for instance, only a linear combination of the values of a function at given points is preassigned, rather than the values at the points themselves. We also consider the case of de Branges-Rovnyak spaces.

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