Aug 19, 2017

# Show that the formula (13.2a) holds upon defining the Fourier coefficients by (13.2b).

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1. Show that the formula (13.2a) holds upon defining the Fourier coefficients by (13.2b).

2. Verify the discrete orthogonality identities given on page 387 at the beginning of Section 13.2 by writing a short program that evaluates these expressions for even m and running it for m = 4, 6, and 8.

3. Explain why we must replace al by al/2 when moving from approximation with m > 2l to interpolation, where m = 2l on page 389.

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