Uniqueness of square convergent triconometric series

  • Ha, Young-Hwa (Department of Mathematics Ajou University) ;
  • Lee, Jin (Department of Mathematics Ajou University)
  • Published : 1995.11.01


It is well known that every periodic function $f \in L^p([0,2\pi]), p > 1$, can be represented by a convergent trigonometric series called the Fourier series of f. Uniqueness of the representing series is very important, and we know that the Fourier series of a periodic function $f \in L^p([0,2\pi])$ is unique.