Number theory problems from the harmonic analysis of a fractal

2014/10/26 by Dutkay, Dorin Ervin, Haussermann, John · 2 citations
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1410.7064

Abstract

We study some number theory problems related to the harmonic analysis (Fourier bases) of the Cantor set introduced by Jorgensen and Pedersen in \citeJP98.

Cited by

• On infinite scalings of the canonical spectrum for self-similar spectral measures
• On a distinctive property of Fourier bases associated with N- Bernoulli Convolutions

Related

• Topics in Fourier analysis
• Fourier Frames for the Cantor-4 Set
• Scaling of spectra of Cantor-type measures and some number theoretic considerations
• The Sound of Fractal Strings and the Riemann Hypothesis
• Diophantine approximations, Markov and Lagrange spectra and dynamical\n Cantor sets