Donoho-Stark's Uncertainty Principles in Real Clifford Algebras

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.

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