The Mixed Fourier-Bessel Transform of a Radial Bessel j-Function

摘要

We find the weighted spherical mean of the kernel of the mixed Fourier-Bessel transform and the mixed Fourier-Bessel transform of a radial compactly supported function. In a space of weighted distributions, we obtain a formula for the mixed Fourier-Bessel transform of a radial Bessel j-function in terms of weighted Kipriyanov distributions.