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arxiv: 1711.02641 · v1 · pith:VCOT65BWnew · submitted 2017-11-07 · 🧮 math.CA

Heisenberg's and Hardy's Uncertainty Principles in Real Clifford Algebras

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keywords cliffordrealfourierhardyheisenbergtransformalgebraalgebras
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Recently, many surveys are devoted to study the Clifford Fourier transform. Dealing with the real Clifford Fourier transform introduced by Hitzer [10], we establish analogues of the classical Heisenberg's inequality and Hardy's theorem in the real Clifford algebra Cl(p, q).

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