English

Donoho-Stark's Uncertainty Principles in Real Clifford Algebras

Classical Analysis and ODEs 2019-10-08 v1

Abstract

The Clifford Fourier transform (CFT) has been shown to be a powerful tool in the Clifford analysis. In this work, several uncertainty inequalities are established in the real Clifford algebra Cl(p,q)Cl_{(p,q)}, \ including the Hausdorf-Young inequality, and three qualitative uncertainty principles of Donoho-Stark.

Keywords

Cite

@article{arxiv.1902.08465,
  title  = {Donoho-Stark's Uncertainty Principles in Real Clifford Algebras},
  author = {Youssef El Haoui and Said Fahlaoui},
  journal= {arXiv preprint arXiv:1902.08465},
  year   = {2019}
}