On convolvers and multipliers for classes of functions related to the Fourier-Bessel transform (Q1594003)

The Fourier-Bessel transform was used earlier to construct operators inverting the so-called \(B\)-potentials (potentials generated by a generalized translation \(T^y_x\)). The multidimensional form of this translation is used in this paper. There are shown appropriate analogues of the generalized convolver theorem and the multiplier theorem for special classes of functions.