If the Fourier coefficients of f are ak and bk, and theFourier coefficients of g are ck

Chapter 10, Problem 58

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If the Fourier coefficients of f are ak and bk, and theFourier coefficients of g are ck and dk, and if A and Bare real, show that the Fourier coefficients of Af + Bgare Aak + Bck and Abk + Bdk.

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