Sharp Hausdorff-Young inequalities for the quaternion Fourier transforms

DOI10.1090/proc/14735zbMath1430.42012OpenAlexW2955706897MaRDI QIDQ5210942

Lian Pan

Publication date: 16 January 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/14735

zbMATH Keywords

uncertainty principleHausdorff-Young inequalityquaternion Fourier transform

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (7)

Boundedness and uniqueness of quaternion Weyl transform ⋮ General right-sided orthogonal 2D-planes split quaternionic wave-packet transform ⋮ Uncertainty principles associated with quaternion linear canonical transform and their estimates ⋮ General double-sided orthogonal planes split QFT and wavelet transform on functions and distribution spaces ⋮ Titchmarsh's theorems for the general double-sided orthogonal 2D-plans split QFT ⋮ On uncertainty principle for the two-sided quaternion linear canonical transform ⋮ Sharp inequalities for geometric Fourier transform and associated ambiguity function

Cites Work

• Unnamed Item
• Pitt's inequality and the uncertainty principle associated with the quaternion Fourier transform
• The Balian-Low theorem for the windowed quaternionic Fourier transform
• Windowed Fourier transform of two-dimensional quaternionic signals
• Inequalities in Fourier analysis
• The uncertainty principle: A mathematical survey
• Uncertainty principle for the quaternion Fourier transform
• General steerable two-sided Clifford Fourier transform, convolution and mustard convolution
• Novel uncertainty principles associated with 2D quaternion Fourier transforms
• Quaternion and Clifford Fourier Transforms and Wavelets
• The Orthogonal 2D Planes Split of Quaternions and Steerable Quaternion Fourier Transformations
• Non-harmonic quaternion Fourier transform and uncertainty principle
• Fourier Transforms in Clifford Analysis
• Quaternion Fourier Transforms for Signal and Image Processing
• Directional uncertainty principle for quaternion Fourier transform

This page was built for publication: Sharp Hausdorff-Young inequalities for the quaternion Fourier transforms