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Let C 0 (2π) denote the space of all continuous, 2π-periodic functions equipped with the supremum norm. Let Π n denote the space of all trigonometric polynomials of degree less than or equal to n. The Fourier projection F n : C 0 (2π) → Π n is defined bydoi:10.1017/s0004972714000744 fatcat:wvm4okfykjbsxopisultyg743q