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Self-similar measures and the Rajchman property

Abstract : For classical Bernoulli convolutions, the Rajchman property, i.e. the convergence to zero at infinity of the Fourier transform, was characterized by successive works of Erdös [2] and Salem [12]. We prove weak forms of their results for general self-similar measures associated to affine contractions of the real line.
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https://hal-upec-upem.archives-ouvertes.fr/hal-02306859
Contributor : Julien Brémont <>
Submitted on : Monday, April 6, 2020 - 11:03:08 AM
Last modification on : Thursday, April 9, 2020 - 1:40:25 AM

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  • HAL Id : hal-02306859, version 7
  • ARXIV : 1910.03463

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Julien Brémont. Self-similar measures and the Rajchman property. 2020. ⟨hal-02306859v7⟩

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