Fourier decay for homogeneous self-affine measures

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We show that for Lebesgue almost all d-tuples (θ1;...; θd), with |θj| > 1, any self-affine measure for a homogeneous non-degenerate iterated function system {Ax + aj}mj=1 in Rd, where A-1 is a diagonal matrix with the entries (θ1;...; θd), has power Fourier decay at infinity.

Original languageEnglish
Pages (from-to)193-206
Number of pages14
JournalJournal of Fractal Geometry
Issue number1-2
StatePublished - 2022

Bibliographical note

Publisher Copyright:
© 2022 European Mathematical Society.


  • Erdos–Kahane ̋ method
  • Fourier decay
  • Self-affine measure


Dive into the research topics of 'Fourier decay for homogeneous self-affine measures'. Together they form a unique fingerprint.

Cite this