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

Daniel Alpay; Palle Jorgensen; Izchak Lewkowicz; Itzik Marziano

doi:10.1007/978-1-4614-4145-8_7

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

Daniel Alpay, Palle Jorgensen, Izchak Lewkowicz, Itzik Marziano

Department of Electrical & Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

15 Scopus citations

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.

Original language	English
Title of host publication	Multiscale Signal Analysis and Modeling
Publisher	Springer New York
Pages	161-182
Number of pages	22
Volume	9781461441458
ISBN (Electronic)	9781461441458
ISBN (Print)	1461441447, 9781461441441
DOIs	https://doi.org/10.1007/978-1-4614-4145-8_7
State	Published - 1 May 2014

ASJC Scopus subject areas

General Engineering
General Computer Science

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10.1007/978-1-4614-4145-8_7

Cite this

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M3 - Chapter

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

Abstract

ASJC Scopus subject areas

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