Two-sided Clifford-valued Linear Canonical Transform: Properties and Mustard Convolution

Teali, Aajaz A.; Shah, Firdous A.

doi:10.1007/s00006-023-01266-y

Adv. Appl. Clifford Algebras

2023

DOI: 10.1007/s00006-023-01266-y

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Two-sided Clifford-valued Linear Canonical Transform: Properties and Mustard Convolution

Aajaz A. Teali

Firdous A. Shah

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Cited by 3 publications

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Clifford‐valued linear canonical wavelet transform and the corresponding uncertainty principles

Rafiq,

Bhat

2024

Math Methods in App Sciences

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The present article establishes a novel transform known as Clifford‐valued linear canonical wavelet transform which is intended to represent ‐dimensional Clifford‐valued signals at various scales, locations, and orientations. The suggested transform is capable of representing signals in the Clifford domain in addition to inheriting the characteristics of the Clifford wavelet transform. In the beginning, we demonstrate the proposed transform by the help of ‐dimensional difference of Gaussian wavelets. We then establish the fundamental properties of the proposed transform like Parseval's formula, inversion formula, and characterization of its range using Clifford linear canonical transform and its convolution. To conclude our work, we derive an analog of Heisenberg's and local uncertainty inequalities for the proposed transform.

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Clifford‐valued linear canonical wavelet transform and the corresponding uncertainty principles

Rafiq,

Bhat

2024

Math Methods in App Sciences

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Spacetime Linear Canonical Transform and the Uncertainty Principles

Teali

2023

Mediterr. J. Math.

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Clifford-valued linear canonical wave-packet transform and corresponding uncertainty principles

Rafiq,

Bhat

2024

J. Pseudo-Differ. Oper. Appl.

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Two-sided Clifford-valued Linear Canonical Transform: Properties and Mustard Convolution

Cited by 3 publications

References 19 publications

Clifford‐valued linear canonical wavelet transform and the corresponding uncertainty principles

Clifford‐valued linear canonical wavelet transform and the corresponding uncertainty principles

Spacetime Linear Canonical Transform and the Uncertainty Principles

Clifford-valued linear canonical wave-packet transform and corresponding uncertainty principles

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