English

Miyachi's Theorem for the Quaternion Fourier Transform

Classical Analysis and ODEs 2019-09-19 v2

Abstract

The quaternion Fourier transform (QFT) satisfies some uncertainty principles similar to the Euclidean Fourier transform. In this paper, we establish Miyachi's theorem for this transform.

Keywords

Cite

@article{arxiv.1711.07519,
  title  = {Miyachi's Theorem for the Quaternion Fourier Transform},
  author = {Youssef El Haoui and Said Fahlaoui},
  journal= {arXiv preprint arXiv:1711.07519},
  year   = {2019}
}