Octonion quadratic-phase Fourier transform: inequalities, uncertainty principles, and examples

In this article, we define the octonion quadratic-phase Fourier transform (OQPFT) and derive its inversion formula, including its fundamental properties such as linearity, parity, modulation, and shifting. We also establish its relationship with the quaternion quadratic-phase Fourier transform (QQPF...

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Bibliographic Details
Published in:	Journal of inequalities and applications Vol. 2024; no. 1; pp. 134 - 52
Main Authors:	Kumar, Manish, Bhawna
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 16.10.2024 Springer Nature B.V SpringerOpen
Subjects:	Algebra Analysis Applications of Mathematics Data compression Fourier transform Fourier transforms Inequalities Inequality Integral transforms Investigations Lie groups Mathematics Mathematics and Statistics Octonion quadratic-phase Fourier transform Principles Quaternions Sharp inequalities Signal processing Uncertainty principles Wavelet transforms 26A42 Sharp inequalities Uncertainty principles 42B10 Octonion quadratic-phase Fourier transform Fourier transform 26D15
ISSN:	1029-242X, 1025-5834, 1029-242X
Online Access:	Get full text
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