Fourier Series

 

Title: Fourier Series
Author: Lawrence C Paulson
Submission date: 2019-09-06
Abstract: This development formalises the square integrable functions over the reals and the basics of Fourier series. It culminates with a proof that every well-behaved periodic function can be approximated by a Fourier series. The material is ported from HOL Light: https://github.com/jrh13/hol-light/blob/master/100/fourier.ml
BibTeX:
@article{Fourier-AFP,
  author  = {Lawrence C Paulson},
  title   = {Fourier Series},
  journal = {Archive of Formal Proofs},
  month   = sep,
  year    = 2019,
  note    = {\url{http://isa-afp.org/entries/Fourier.html},
            Formal proof development},
  ISSN    = {2150-914x},
}
License: BSD License
Depends on: Lp
Status: [ok] This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.