摘要
E. M. Stein has made a research on Riesz transformations considered as multiplier operators on compact Lie groups, and gives some important results and their applications. Another important problem is: Can Riesz transformations be represented as singular integrals on compact Lie groups, and what are the kernel functions? In this note, we will give the concrete kernel functions and solve the problem. Let us start with Riesz potentials I_α and Bessel potentials (?)_α on a compact Lie group for Reα>
