Fourier decay of self-similar measures and self-similar sets of uniqueness

DOI 10.2140/apde.2022.15.843</link>OpenAlex W4287813606</link>Wikidata Q114045413</link> Scholia Q114045413</link>MaRDI QID Q2152582</link>

Han Yu, Péter Pál Varjú

Publication date: 8 July 2022

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.09358

zbMATH Keywords

sets of uniquenessRajchman measuredigit changesFourier decay of self-similar measures

Mathematics Subject Classification ID

Fractals (28A80) Radix representation; digital problems (11A63) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)

Related Items (5)

Fourier decay for homogeneous self-affine measures ⋮ The lower Fourier dimensions of in-homogeneous self-similar measures ⋮ Logarithmic Fourier decay for self conformal measures ⋮ Julia sets of hyperbolic rational maps have positive Fourier dimension ⋮ On normal numbers and self-similar measures

Cites Work

• Unnamed Item
• Decay rate of Fourier transforms of some self-similar measures
• Self-similar measures and the Rajchman property
• Trigonometric series and self-similar sets
• On the modulus of continuity for spectral measures in substitution dynamics
• Extension of a renewal theorem
• Auxiliary Polynomials in Number Theory
• An Introduction to the Geometry of Numbers
• A property of power series with positive coefficients

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