UNIQUENESS THEOREMS FOR MULTIPLE FRANKLIN SERIES K. Navasardyan
It is proved, that if the square partial sums σqn(x) of a multiple Franklin series converge in measure to a function f, the ratio qn+1qn is bounded and the majorant of partial sums satisfies to a necessary condition, then the coefficients of the series are restored by the function f.
DOI: 10.46991/PYSU:A/2017.51.3.241 Physical and Mathematical Sciences, 51(3 (244) 241-249