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

 

Measures on independent sets, a quantitative version of Rudin's theorem


Author: T. W. Körner
Journal: Proc. Amer. Math. Soc. 135 (2007), 3823-3832
MSC (2000): Primary 42A16
Published electronically: August 23, 2007
MathSciNet review: 2341932
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Abstract: We construct measures with independent support whose Fourier coefficients decrease as fast as possible.


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Additional Information

T. W. Körner
Affiliation: DPMMS, Centre for Mathematical Sciences, Clarkson Road, Cambridge, England
Email: twk@dpmms.cam.ac.uk

DOI: http://dx.doi.org/10.1090/S0002-9939-07-09095-8
PII: S 0002-9939(07)09095-8
Keywords: Rudin set, independent set, Fourier series
Received by editor(s): March 16, 2006
Published electronically: August 23, 2007
Communicated by: Michael T. Lacey
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.