Skip to Main content Skip to Navigation
New interface
Preprints, Working Papers, ...

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

https://hal.archives-ouvertes.fr/hal-02306859
Contributor : Julien Brémont Connect in order to contact the contributor
Submitted on : Monday, December 7, 2020 - 11:49:21 AM
Last modification on : Friday, September 30, 2022 - 4:10:49 AM

Files

rajchman.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-02306859, version 8
  • ARXIV : 1910.03463

Citation

Julien Brémont. Self-similar measures and the Rajchman property. 2020. ⟨hal-02306859v8⟩

Share

Metrics

Record views

267

Files downloads

275