On Recovery of Coefficients of Franklin Series with a 'Good' Majorant of Partial Sums

摘要

In this paper, we obtain recovery formulas for coefficients of multiple Franklin series by means of its sum, if the series satisfies the following conditions: 1) the square partial sums with indices 2. converge almost everywhere, 2) the majorant of partial sums with indices 2. satisfies some necessary condition.