| On a Class of Singular
Integral Equations with Rotations
Nguyen Minh Tuan Abstract The paper deals with the singular integral equation a(t) φ(t) + b(t) [(S+M)P_\ell φ](t) = f(t), where a(t) = \prod\limits_{i=1}^m (t-\alpha_i)^{r_i}s(t).We will reduce the equation to the well-known Riemann boundary value problem and then describe all solution of the indicate problem in a closed form. |