For a function / in C[n, n] (with the inner product defined on page 239), consider the

Chapter 5, Problem 13

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For a function / in C[n, n] (with the inner product defined on page 239), consider the sequence of all it s Fourier coefficients,(flQ, b \ , C\i b2* C2.........bn,Cn--------)Is this infinite sequence in 2? If so, what is the relationship between||/|| (the norm in C[-n. tt \)and||(0 b\, c\.b2* C 2, . -)|| (the norm in 12)?The inner product space t2 was introduced in Example 2.

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