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arXiv:1906.12164 [math.DS]AbstractReferencesReviewsResources

Fourier decay for self-similar measures

Boris Solomyak

Published 2019-06-28Version 1

We prove that, after removing a zero Hausdorff dimension exceptional set of parameters, all self-similar measures on the line have a power decay of the Fourier transform at infinity.

Comments: 16 pages
Categories: math.DS, math.CA
Subjects: 28A80, 42A38
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