Donoho-Stark's Uncertainty Principles in Real Clifford Algebras

Youssef El Haoui; Said Fahlaoui

doi:10.1007/s00006-019-1015-7

paper

Donoho-Stark's Uncertainty Principles in Real Clifford Algebras

arXiv:1902.08465 · doi:10.1007/s00006-019-1015-7

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 $C l_{(p, q)}$ , \ including the Hausdorf-Young inequality, and three qualitative uncertainty principles of Donoho-Stark.