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arXiv · 1104.0621

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

Daniel Alpay·Palle Jorgensen·Izchak Lewkowicz·Itzik Martziano
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Abstract

We introduce connections between the Cuntz relations and the Hardy space H_2 of the open unit disk . We then use them to solve a new kind of multipoint interpolation problem in H_2, 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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Daniel Alpay, Palle Jorgensen, Izchak Lewkowicz, Itzik Martziano. 2011-04-04. Representation formulas for Hardy space functions through the Cuntz relations and new interpolation problems. https://arxiv.org/abs/1104.0621

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