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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Boundary spectra of uniform Frostman Blaschke products


Author: Alec Matheson
Journal: Proc. Amer. Math. Soc. 135 (2007), 1335-1341
MSC (2000): Primary 30D50, 30D40
Published electronically: November 29, 2006
MathSciNet review: 2276642
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Abstract: A closed set $ F$ in the unit circle $ \mathbb{T}$ is the boundary spectrum of a uniform Frostman Blaschke product if and only if $ F$ is nowhere dense in $ \mathbb{T}$.


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Additional Information

Alec Matheson
Affiliation: Department of Mathematics, Lamar University, P.O. Box 10047, Beaumont, Texas 77710
Email: matheson@math.lamar.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-06-08470-X
PII: S 0002-9939(06)08470-X
Received by editor(s): June 30, 2005
Received by editor(s) in revised form: August 10, 2005
Published electronically: November 29, 2006
Communicated by: Joseph A. Ball
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.