Jie Xiao
Abstract
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In this note, we show that Cesàro transforms of Fourier cosine or sine coefficients of any L ∞ ( 0 , π ) L^{\infty }(0,\pi ) -function are Fourier cosine or sine coefficients of some B M O ( 0 , π ) BMO(0,\pi ) -function.
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In this note, we show that Cesàro transforms of Fourier cosine or sine coefficients of any L ∞ ( 0 , π ) L^{\infty }(0,\pi ) -function are Fourier cosine or sine coefficients of some B M O ( 0 , π ) BMO(0,\pi ) -function.
Key concepts: Sine and cosine transforms, Sine, Fourier sine and cosine series, Trigonometric functions, Fourier series, Fourier transform, Mathematics, Mathematical analysis