Uniqueness theorems for multiple Franklin series (Միակության թեորեմներ բազմապատիկ Ֆրանկլինի շարքերի համար)

Abstract

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+1 qn 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 .