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A Remark on Fourier Transform

History and Overview 2023-08-10 v3 Functional Analysis

Abstract

In this note, we describe an interpretation of the (continuous) Fourier transform from the perspective of the Chinese Remainder Theorem. Some related issues, including a new derivation of Poisson summation formula, are discussed.

Keywords

Cite

@article{arxiv.1807.05829,
  title  = {A Remark on Fourier Transform},
  author = {Guangwu Xu},
  journal= {arXiv preprint arXiv:1807.05829},
  year   = {2023}
}
R2 v1 2026-06-23T03:02:36.259Z