English

Character analysis using Fourier series

History and Overview 2017-03-06 v2 Functional Analysis

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.

Cite

@article{arxiv.1104.1201,
  title  = {Character analysis using Fourier series},
  author = {Daniel Reem},
  journal= {arXiv preprint arXiv:1104.1201},
  year   = {2017}
}

Comments

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

R2 v1 2026-06-21T17:50:32.842Z