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St. Petersburg Mathematical Journal
St. Petersburg Mathematical Journal
ISSN 1547-7371(online) ISSN 1061-0022(print)

Reducibility of function pairs in $ H^\infty_{\mathbb{R}}$


Author: Raymond Mortini
Original publication: Algebra i Analiz, tom 23 (2011), nomer 6.
Journal: St. Petersburg Math. J. 23 (2012), 1013-1022
MSC (2010): Primary 30H05, 46H15, 30J10, 30H80
Published electronically: September 17, 2012
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Abstract: A short proof of a result by Brett Wick on the reducibility of function pairs in $ H^{\infty }_ \mathbb{R}$ is presented, and some unusual properties of the solutions to the associated Bézout equations are unveiled.


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Additional Information

Raymond Mortini
Affiliation: Département de Mathématiques, LMAM, UMR 7122, Université Paul Verlaine, Ile duSaulcy, F-57045 Metz, France
Email: mortini@math.univ-metz.fr

DOI: http://dx.doi.org/10.1090/S1061-0022-2012-01227-6
PII: S 1061-0022(2012)01227-6
Keywords: Corona theorem, Bézout equation, Blaschke product
Received by editor(s): June 28, 2010
Published electronically: September 17, 2012
Article copyright: © Copyright 2012 American Mathematical Society