【摘要】 <正> [1]中构造了[0,1]上分片线性的正交函数系{U}: U₀（X）=1,U₁（X）=3^1/2（1—2x）,0≤x≤1更多还原

【Abstract】 In [1] and [2], one studicd many properties of U-Fourier series which are much similar to the properties of Trigonomic. Fourier series. In this paper, we point out a striking difference between the {U} and the Trigonometric system, i.e. we prove that the U. Fourier series for a bounded variation function at a discontinuous point x=α is divergent, if α is dyadically irrational.更多还原