О скорости сходимости двойных рядов экспонент, представляющих регулярные функции в произведениях выпуклых многоугольников

Анотація

Exact in order estimates are obtained in the uniform and integral metrics for the deviation of partial sums of a double series of exponents that represents a function regular in the product of convex polygons; this function is either continuous on the product of closed polygons or belongs to the Smirnov class.