The fractional Clifford-Fourier kernel

DOI10.1007/s00041-013-9274-5zbMath1305.42008OpenAlexW2171282962MaRDI QIDQ485167

Yong-Cai Geng, Sumit K. Garg

Publication date: 9 January 2015

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-013-9274-5

zbMATH Keywords

Clifford analysisfractional Clifford-Fourier transform

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Wave equation (35L05) Clifford algebras, spinors (15A66)

Related Items (8)

The bounds of the odd dimensional Clifford-Fourier kernels ⋮ Some old orthogonal polynomials revisited and associated wavelets: two-parameters Clifford-Jacobi polynomials and associated spheroidal wavelets ⋮ A new construction of the Clifford-Fourier kernel ⋮ Two-sided fractional Clifford–Fourier transformation ⋮ Some ultraspheroidal monogenic Clifford Gegenbauer Jacobi polynomials and associated wavelets ⋮ The kernel of the generalized Clifford-Fourier transform and its generating function ⋮ Fourier kernels associated with the Clifford-Helmholtz system ⋮ Fractional Clifford-Fourier transform and its application

Cites Work

• The fractional Clifford-Fourier transform
• The evolution of applied harmonic analysis. Models of the real world. With a foreword by Ronald N. Bracewell
• The two-dimensional Clifford-Fourier transform
• The Clifford-Fourier transform
• On the Clifford-Fourier Transform
• Hypercomplex Fourier Transforms of Color Images
• Harmonic Analysis in Phase Space. (AM-122)
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