Weighted Bergman Spaces: Shift-Invariant Subspaces and Input/State/Output Linear Systems View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2013-07

AUTHORS

Joseph A. Ball, Vladimir Bolotnikov

ABSTRACT

It is well known that subspaces of the Hardy space over the unit disk which are invariant under the backward shift occur as the image of an observability operator associated with a discrete-time linear system with stable state-dynamics, as well as the functional-model space for a Hilbert space contraction operator, while forward shift-invariant subspaces have a representation in terms of an inner function. We discuss several variants of these statements in the context of weighted Bergman spaces on the unit disk. More... »

PAGES

301-356

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00020-013-2053-5

DOI

http://dx.doi.org/10.1007/s00020-013-2053-5

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1016902613


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