# 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
• 33 2

#### Abstract

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.

#### Keywords

trigonometric sereis;Fourier series;uniqueness of trigonometric series