Dzyadyk formula for summation of double Faber series

An analog of the Dzyadyk formula is constructed for double series in Faber polynomials of two variables. By using this formula, we obtain the estimates of the convergence rate in a bicylindrical domain for double Faber series summed over rectangles and circles.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 9, pp. 1283–1287, September, 1994.