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

Аннотация

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.