In mathematical analysis, the RademacherâMenchov 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.
If the coefficients cν of a series of bounded orthogonal functions on an interval satisfy
then the series converges almost everywhere.
In mathematical analysis, the RademacherâMenchov 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.
If the coefficients cν of a series of bounded orthogonal functions on an interval satisfy
then the series converges almost everywhere.