Planar Fourier transforms and Diophantine approximation
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- by R. Kaufman PDF
- Proc. Amer. Math. Soc. 40 (1973), 199-204 Request permission
Abstract:
The radial behavior of its Fourier-Stieltjes transform in ${R^2}$ is related to the modulus of continuity of a measure; in certain cases the Hausdorff dimension of an exceptional set of lines can be estimated. Converse results use the theory of Diophantine approximation established by Besicovitch and Jarník.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 40 (1973), 199-204
- MSC: Primary 42A92
- DOI: https://doi.org/10.1090/S0002-9939-1973-0320626-7
- MathSciNet review: 0320626