Two-sided fractional Clifford–Fourier transformation

DOI10.1080/17476933.2021.1916921OpenAlexW3159031673MaRDI QIDQ5094519

Haipan Shi, Zunfeng Li, Heju Yang

Publication date: 3 August 2022

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2021.1916921

zbMATH Keywords

Clifford algebrageometric algebraClifford analysisfractional Fourier transformationtwo-sided transform

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Clifford algebras, spinors (15A66) Quadratic spaces; Clifford algebras (11E88) Multiple integral transforms (44A30)

Related Items (2)

Uncertainty principles of the fractional Clifford–Fourier transform ⋮ Two-sided Clifford-valued linear canonical transform: properties and Mustard convolution

Cites Work

• On uncertainty principle for quaternionic linear canonical transform
• The fractional Clifford-Fourier transform
• The fractional Clifford-Fourier kernel
• The class of Clifford-Fourier transforms
• Two-sided Clifford Fourier transform with two square roots of \(-1\) in \(Cl(p,q)\)
• The uncertainty principle for the two-sided quaternion Fourier transform
• Donoho-Stark's uncertainty principles in real Clifford algebras
• Two-sided Fourier transform in Clifford analysis and its application
• Fractional Clifford-Fourier transform and its application
• Spectrums of functions associated to the fractional Clifford-Fourier transform
• A new construction of the Clifford-Fourier kernel
• Real Clifford windowed Fourier transform
• The Clifford-Fourier transform
• Generalized prolate spheroidal wave functions for offset linear canonical transform in Clifford analysis

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