Heisenberg's and Hardy's Uncertainty Principles in Real Clifford Algebras (1711.02641v1)

Abstract: 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).