On the Rajchman property for self-similar measures

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.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [18 references]  Display  Hide  Download

https://hal-upec-upem.archives-ouvertes.fr/hal-02306859
Contributor : Julien Brémont <>
Submitted on : Wednesday, October 30, 2019 - 11:10:00 AM
Last modification on : Thursday, November 7, 2019 - 1:16:00 AM

Files

mesinv3.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-02306859, version 2
  • ARXIV : 1910.03463

Collections

Citation

Julien Brémont. On the Rajchman property for self-similar measures. 2019. ⟨hal-02306859v2⟩

Share

Metrics

Record views

5

Files downloads

8