Generalized translation operator and the Heat equation for the canonical Fourier Bessel transform
The aim of this paper is to introduce a translation operator associated to the canonical Fourier Bessel transform $\mathcal{F}_ν^{\mathbf{m}}$ and study some of the important properties. We derive a convolution product for this transform and as application we study the heat equation and the heat semigroup related to $Δ_ν^{\mathbf{m}}.$
math.AP↗