The kernel of the generalized Clifford-Fourier transform and its generating function

DOI10.1080/17476933.2016.1218851zbMath1364.44001arXiv1602.08996OpenAlexW2962688494MaRDI QIDQ2960600

Lian Pan, Hendrik De Bie, Gejun Bao, Denis Constales

Publication date: 17 February 2017

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

Full work available at URL: https://arxiv.org/abs/1602.08996

zbMATH Keywords

Laplace transformBessel functiongeneralized Fourier transformClifford-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) Laplace transform (44A10) Clifford algebras, spinors (15A66)

Related Items (2)

The bounds of the odd dimensional Clifford-Fourier kernels ⋮ Clifford–Fourier transform on hyperbolic space

Cites Work

• The fractional Clifford-Fourier kernel
• The two-dimensional Clifford-Fourier transform
• A new construction of the Clifford-Fourier kernel
• The Clifford-Fourier transform
• The Mehler formula for the generalized Clifford-Hermite polynomials
• Laguerre semigroup and Dunkl operators
• Uncertainty principles for integral operators

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