Integral transforms with the Legendre function of the first kind in the kernels on -spaces
Anatoly A. Kilbas, О. В. Скоромник · Integral Transforms and Special Functions · 2009
This paper is devoted to the study of the one-dimensional integral transform and three of its modifications, involving the Legendre function of the first kind with complex γ, δ, Re(γ)<1, in the kernels, in the space of Lebesgue measurable functions f on such that Mapping properties such as the boundedness, the range, the representation and the inversion of the considered transforms are established.