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Donoho–Stark’s Uncertainty Principles in Real Clifford Algebras

  • Youssef El HaouiEmail author
  • Said Fahlaoui
Article

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 \(Cl_{(p,q)}\), including the Hausdorf–Young inequality, and three qualitative uncertainty principles of Donoho–Stark.

Keywords

Clifford algebras Clifford-Fourier transform Uncertainty principle Donoho–Stark’s uncertainty principle 

Notes

Acknowledgements

The authors are grateful to the referees for carefully reading the paper and for elaborating the valuable suggestions and comments.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Mathematics and Computer Sciences, Faculty of SciencesUniversity Moulay IsmailMeknesMorocco

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