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The Rudin–Shapiro sequence was introduced independently by Golay, Rudin, and Shapiro. The following is a description of Rudin's motivation. In Fourier analysis , one is often concerned with the L 2 {\displaystyle L^{2}} norm of a measurable function f : [ 0 , 2 π ) → [ 0 , 2 π ) {\displaystyle f\colon [0,2\pi )\to [0,2\pi )} .