Point evaluation and Hardy space on a homogeneous tree

Details Point evaluation and Hardy space on a homogeneous tree Point evaluation and Hardy space on a homogeneous tree

2003-09-16

arxiv.org/abs/math/0309262v2

Integral Equations and Operator Theory, vol. 53 (2005): 1-22

Mathematics

Operator Algebras

Added references, changed notations

Scientific paper

We consider transfer functions of time--invariant systems as defined by Basseville, Benveniste, Nikoukhah and Willsky when the discrete time is replaced by the nodes of an homogeneous tree. The complex numbers are now replaced by a C*-algebra built from the structure of the tree. We define a point evaluation with values in this C*-algebra and a corresponding ``Hardy space'' in which a Cauchy's formula holds. This point evaluation is used to define in this context the counterpart of classical notions such as Blaschke factors. There are deep analogies with the non stationary setting as developed by the first author, Dewilde and Dym.

Affiliated with

Also associated with

No associations

Rating

Point evaluation and Hardy space on a homogeneous tree does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Point evaluation and Hardy space on a homogeneous tree, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Point evaluation and Hardy space on a homogeneous tree will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-690684