Scaling of spectra of Cantor-type measures and some number theoretic considerations

Abstract

We investigate some relations between number theory and spectral measures related to the harmonic analysis of a Cantor set. Specifically, we explore ways to determine when an odd natural number $m$ generates a complete or incomplete Fourier basis for a Cantor-type measure with scale $g$.

arXiv admin note: text overlap with arXiv:1410.7064