Fourier Series

Lawrence C. Paulson

6 September 2019

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
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Theories

Cite

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@article{Fourier-AFP,
  author  = {Lawrence C. Paulson},
  title   = {Fourier Series},
  journal = {Archive of Formal Proofs},
  month   = September,
  year    = 2019,
  note    = {\url{http://isa-afp.org/entries/Fourier.html},
            Formal proof development},
  ISSN    = {2150-914x},
}
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