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Measures on independent sets, a quantitative version of Rudin's theorem
Author(s):
T.
W.
Körner
Journal:
Proc. Amer. Math. Soc.
135
(2007),
3823-3832.
MSC (2000):
Primary 42A16
Posted:
August 23, 2007
MathSciNet review:
2341932
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Additional information
Abstract:
We construct measures with independent support whose Fourier coefficients decrease as fast as possible.
References:
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- 1.
- F. Hausdorff, Set theory. Second edition. Translated from the German by John R. Aumann et al., Chelsea Publishing Co., New York, 1957. MR 0086020 (19:111a)
- 2.
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- 3.
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- 10.
- R. Salem, On singular monotonic functions whose spectrum has a given Hausdorff dimension Ark. Mat. 1 (1951) 353-365. MR 0043249 (13:230b)
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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:
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
Posted:
August 23, 2007
Communicated by:
Michael T. Lacey
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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