paper

Cantor measures with odd base do not admit Fourier frames

arXiv:2607.08656

Abstract

We prove that the Cantor measure with base does not admit a Fourier frame whenever is an odd integer. In particular, this answers a question of Strichartz on the existence of a Fourier frame for the middle third Cantor measure. A formalization of our main result in Lean 4 is also provided.

Lean verification available at https://github.com/jaumededios/Cantor_Measure_Frames

Cantor measures with odd base do not admit Fourier frames · wovepaper