Unformatted text preview: II. (3pts) For any integers m,n compute: âˆ« âˆž âˆž âˆ’ âˆ’ âˆ’ dt n t m t ) ( sinc ) ( sinc III. (4pts) Let Îµ >0, Ïƒ >0, B>0 be given. Construct a continuously differentiable function f:R â†’ R with a piecewise smooth absolutely integrable Fourier transform F such that .  ) (  , , ) ( ) ( 2 B f and s for s F dt t f > < < âˆ’ = < âˆ« âˆž âˆž âˆ’ Îµ (Hint: See Exercise 8.28) Total : 10 pts...
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 Spring '08
 staff
 matlab, Continuous function, 10 pts, 4pts, 3pts, I. II.

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