arXiv Open Access 2019

Self-similar measures and the Rajchman property

Julien Brémont

Lihat Sumber

Abstrak

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 Erd{ö}s [2] and Salem [12]. We prove weak forms of their results for general self-similar measures associated to affine contractions of the real line.

Topik & Kata Kunci

math.DS math.PR

Penulis (1)

Julien Brémont

Format Sitasi

APA MLA BibTeX

Brémont, J. (2019). Self-similar measures and the Rajchman property. https://arxiv.org/abs/1910.03463

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2019
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓