Question 9 Let a not be an integer, and f (x) = cos ar, I E (-7, 7] Extend f to PC (27). (a) Compute the Fourier series of f. (b) Discuss its pointwise convergence. (c) Apply Parseval's formula to show sin 207 1+ 207 ´sin on 2 =)' - (;. 1 ' (n² – a²)² ·
Question 9 Let a not be an integer, and f (x) = cos ar, I E (-7, 7] Extend f to PC (27). (a) Compute the Fourier series of f. (b) Discuss its pointwise convergence. (c) Apply Parseval's formula to show sin 207 1+ 207 ´sin on 2 =)' - (;. 1 ' (n² – a²)² ·
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