Uniqueness Theorems for Series in the Franklin System

摘要

In 1928, Franklin constructed the first example of a complete orthonormal basis in C. This system consists of piecewise linear continuous functions. A systematic study of the Franklin system goes back to Ciesielski's papers. Subsequently, this system turned out to be very useful for the solution of different problems. A detailed survey of the studies of series in the Franklin system was given in.