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

Authors

Daniel Alpay, Chapman UniversityFollow
Palle Jorgensen, University of Iowa
Izchak Lewkowicz, Ben Gurion University of the Negev
Itzik Marziano, Ben Gurion University of the Negev

Document Type

Article

Publication Date

2013

Abstract

We introduce connections between the Cuntz relations and the Hardy space H2 of the open unit disk D. 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.

Comments

This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Lecture Notes in Electrical Engineering in 2013 following peer review. The final publication is available at Springer via DOI: 10.1007/978-1-4614-4145-8_7

Recommended Citation

D. Alpay, P. Jorgensen, I. Lewkowicz and I. Marziano. Representation formulas for Hardy space functions through the Cuntz relations and new interpolation problems. Multiscale signal analysis and modeling (editors Xiaoping Shen and Ahmed Zayed), Lecture Notes in Electrical Engineering (Springer), (2013), pp. 161-182.

Peer Reviewed

1

Copyright

Springer