Number theory problems from the harmonic analysis of a fractal
Dorin Ervin Dutkay, John Haussermann
TL;DR
This paper explores number theory problems connected to the harmonic analysis of the Cantor set, focusing on Fourier bases and their mathematical properties.
Contribution
It introduces new insights into the number theory aspects of harmonic analysis on fractal sets, specifically the Cantor set.
Findings
Identification of specific number theory problems related to Fourier bases on fractals
New results on the structure of Fourier bases for the Cantor set
Connections established between harmonic analysis and number theory in fractal contexts
Abstract
We study some number theory problems related to the harmonic analysis (Fourier bases) of the Cantor set introduced by Jorgensen and Pedersen in \cite{JP98}.
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