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

2017/11/07 by Rim Jday, Jday, Rim
Mathematics · #15A66 #43A32 #Algebraic and Geometric Analysis #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.1711.02641

openalex publication_date 2017/11/07 · openalex created_date 2017/11/17 · openalex updated_date 2026/07/28

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).

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