Uncertainty principles associated with quaternion linear canonical transform and their estimates

Publication date: 19 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

uncertainty principle Hausdorff-Young inequality quaternion linear canonical transform Pitt's inequality 2D linear canonical transform entropy uncertainty

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Trigonometric polynomials, inequalities, extremal problems (42A05)

Cites Work

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The quaternion domain Fourier transform and its properties
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Pitt's inequality and the uncertainty principle associated with the quaternion Fourier transform
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An uncertainty principle for quaternion Fourier transform
Quaternion and fractional Fourier transform in higher dimension
The Orthogonal 2D Planes Split of Quaternions and Steerable Quaternion Fourier Transformations
Quaternion Fourier and linear canonical inversion theorems
Linear canonical wave packet transform
Sharp local uncertainty inequalities
Digital Computation of Linear Canonical Transforms
The linear canonical wavelet transform on some function spaces
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Convolution and Multichannel Sampling for the Offset Linear Canonical Transform and Their Applications
Generalized prolate spheroidal wave functions for offset linear canonical transform in Clifford analysis
Uncertainty principles associated with quaternionic linear canonical transforms

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