Chalendar, I, Gorkin, P, Partington, JR orcid.org/0000-0002-6738-3216 et al. (1 more author) (2018) Clark measures and a theorem of Ritt. Mathematica Scandinavica, 122 (2). pp. 277-298. ISSN 0025-5521
Abstract
We determine when a finite Blaschke product B can be written, in a non-trivial way, as a composition of two finite Blaschke products (Ritt's problem) in terms of the Clark measure for B. Our tools involve the numerical range of compressed shift operators and the geometry of certain polygons circumscribing the numerical range of the relevant operator. As a consequence of our results, we can determine, in terms of Clark measures, when two finite Blaschke products commute.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | This is an author produced version of a paper published in Mathematica Scandinavica. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 19 May 2017 14:05 |
Last Modified: | 23 Apr 2018 09:09 |
Status: | Published |
Publisher: | Mathematica Scandinavica |
Identification Number: | 10.7146/math.scand.a-104444 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:116652 |