2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.CA2023
Bounds for the kernel of the -generalized Fourier transform
Hendrik De Bie, Pan Lian, Frederick Maes
In this paper, we study the pointwise bounds for the kernel of the -generalized Fourier transform with , introduced by Ben Saïd, Kobayashi and Orsted. We present…
math.CA2016
Explicit formulas for the Dunkl dihedral kernel and the -generalized Fourier kernel
Denis Constales, Hendrik De Bie, Pan Lian
In this paper, a new method is developed to obtain explicit and integral expressions for the kernel of the -generalized Fourier transform for . In the case of dihedral…
math.CA2015★ 2 cited
A new construction of the Clifford-Fourier kernel
Denis Constales, Hendrik De Bie, Pan Lian
In this paper, we develop a new method based on the Laplace transform to study the Clifford-Fourier transform. First, the kernel of the Clifford-Fourier transform in the Laplace do…