Uncertainty principle for multivector-valued functions

DOI10.1142/S0219691315500058zbMath1309.42011MaRDI QIDQ5247085

Yingxiong Fu, Luoqing Li

Publication date: 22 April 2015

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

zbMATH Keywords

Fourier transformuncertainty principleClifford analysis

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Clifford algebras, spinors (15A66)

Related Items (5)

A new bound of uncertainty principle for real para-vector valued signals ⋮ Pitt's inequality and logarithmic uncertainty principle for the Clifford-Fourier transform ⋮ Clifford wavelet transform and the uncertainty principle ⋮ Uncertainty principle for space-time algebra-valued functions ⋮ Some shaper uncertainty principles for multivector-valued functions

Cites Work

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• Simultaneous estimates for vector-valued Gabor frames of Hermite functions
• Windowed Fourier transform of two-dimensional quaternionic signals
• Clifford Fourier transform on multivector fields and uncertainty principles for dimensions \(n=2\pmod 4\) and \(n=3\pmod 4\)
• The uncertainty principle: A mathematical survey
• The two-dimensional Clifford-Fourier transform
• Real Clifford windowed Fourier transform
• Two-Dimensional Clifford Windowed Fourier Transform

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