In mathematical analysis, the Rademacher–Menchov theorem, introduced by Rademacher (1922) and Menchoff (1923), gives a sufficient condition for a series of orthogonal functions on an interval to converge almost everywhere.
Statement
If the coefficients cν of a series of bounded orthogonal functions on an interval satisfy
then the series converges almost everywhere.
References
Rademacher–Menchov theorem Wikipedia(Text) CC BY-SA