Fourier kernels associated with the Clifford-Helmholtz system

DOI10.1007/s11785-023-01463-4OpenAlexW4390940315WikidataQ129798898 ScholiaQ129798898MaRDI QIDQ6187449

Roy Oste, Hendrik De Bie, Ze Yang

Publication date: 31 January 2024

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-023-01463-4

zbMATH Keywords

Fourier transformLaplace transformClifford-Helmholtz system

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Cites Work

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• The fractional Clifford-Fourier kernel
• The class of Clifford-Fourier transforms
• The Clifford-Fourier integral kernel in even dimensional Euclidean space
• The two-dimensional Clifford-Fourier transform
• A new construction of the Clifford-Fourier kernel
• The Clifford-Fourier transform
• On the Clifford-Fourier Transform
• Fourier Transforms in Clifford Analysis
• Generalized Hermitean Clifford-Hermite polynomials and the associated wavelet transform
• The Cylindrical Fourier Spectrum of an L2‐basis consisting of Generalized Clifford‐Hermite Functions
• Generalized Fourier Transforms Arising from the Enveloping Algebras of 𝔰𝔩(2) and 𝔬𝔰𝔭(1∣2)
• Clifford algebras, Fourier transforms, and quantum mechanics

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