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Representation Formulas for Hardy Space Functions Through the Cuntz Relations and New Interpolation Problems
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Representation Formulas for Hardy Space Functions Through the Cuntz Relations and New Interpolation Problems

Daniel Alpay, Palle Jorgensen, Izchak Lewkowicz and Itzik Marziano
Multiscale Signal Analysis and Modeling, pp.161-182
Springer New York, 2013
2013
DOI: 10.1007/978-1-4614-4145-8_7
url
https://digitalcommons.chapman.edu/cgi/viewcontent.cgi?article=1430&context=scs_articlesView
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Abstract

We introduce connections between the Cuntz relations and the Hardy space H 2 of the open unit disk $$\mathbb{D}$$ . 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.
Engineering Signal, Image and Speech Processing Mathematical Modeling and Industrial Mathematics Computational Science and Engineering

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