Point Evaluation and Hardy Space on a Homogeneous Tree

Authors

Daniel Alpay, Chapman UniversityFollow
Dan Volok, Ben Gurion University of the Negev

Document Type

Article

Publication Date

2005

Abstract

We consider stationary multiscale systems as defined by Basseville, Benveniste, Nikoukhah and Willsky. We show that there are deep analogies with the discrete time non stationary setting as developed by the first author, Dewilde and Dym. Following these analogies we define a point evaluation with values in a C*–algebra and the corresponding “Hardy space” in which Cauchy’s formula holds. This point evaluation is used to define in this context the counterpart of classical notions such as Blaschke factors.

Comments

This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Integral Equations and Operator Theory, volume 53, in 2005 following peer review. The final publication is available at Springer via DOI: 10.1007/s00020-003-1302-4

Recommended Citation

D. Alpay and D. Volok, Point evaluation and Hardy space on a homogeneous tree. Integral Equations and Operator Theory, vol. 53 (2005), pp. 1-22.

Peer Reviewed

1

Copyright

Springer