Character analysis using Fourier series
arXiv:1104.1201 · doi:10.4169/amer.math.monthly.119.03.245
Abstract
We show that character analysis using Fourier series is possible, at least when a mathematical character is considered. Previous approaches to character analysis are somewhat not in the spirit of harmonic analysis.
2 pages, American Mathematical Monthly, to appear; the note was shortened, additional slight modifications, added thanks and references. V1 still has some value, since it contains a certain didactic discussion (about the relation between periodic functions and functions defined on the torus) which is not easily found in its complete form in textbooks