English

Fourier Series and Transforms via Convolution

History and Overview 2022-01-20 v2 Systems and Control Systems and Control

Abstract

In this paper we show an alternative way of defining Fourier Series and Transform by using the concept of convolution with exponential signals. This approach has the advantage of simplifying proofs of transforms properties and, in our view, may be interesting for educational purposes.

Keywords

Cite

@article{arxiv.2201.03974,
  title  = {Fourier Series and Transforms via Convolution},
  author = {Francisco Mota},
  journal= {arXiv preprint arXiv:2201.03974},
  year   = {2022}
}
R2 v1 2026-06-24T08:46:29.698Z