Inequalities Pertaining to Quaternion Ambiguity Function

DOI10.1007/S00006-024-01320-3MaRDI QIDQ6494865

Mawardi Bahri, Unnamed Author, Unnamed Author, Unnamed Author

Publication date: 30 April 2024

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Applications of Clifford algebras to physics, etc. (15A67)

Cites Work

• Pitt's inequality and the uncertainty principle associated with the quaternion Fourier transform
• Foundations of time-frequency analysis
• Uncertainty principle for the quaternion Fourier transform
• On two-dimensional quaternion Wigner-Ville distribution
• Beurling's theorem for the quaternion Fourier transform
• Quaternion Fourier transform on quaternion fields and generalizations
• Miyachi's theorem for the quaternion Fourier transform
• Hypercomplex Fourier Transforms of Color Images
• Laplace transform: a new approach in solving linear quaternion differential equations
• Plancherel theorem and quaternion Fourier transform for square integrable functions
• Uncertainty principles for the two‐sided offset quaternion linear canonical transform
• Sharp Hausdorff-Young inequalities for the quaternion Fourier transforms
• Quaternion Fourier Transforms for Signal and Image Processing

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