On recovery of the singular differential Laplace-Bessel operator from the Fourier-Bessel transform

Abstract

This paper is devoted to the problem of the best recovery of a fractional power of the B-elliptic operator of a function on R₊ᴺby its Fourier-Bessel transform known approximately on a convex set with the estimate of the difference between Fourier-Bessel transform of the function and its approximation in the metric