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Unformatted text preview: II. 9. For a fixed a >0, compute the following sum using the Poisson summation formula: ∑ ∞ −∞ = + − n a n x 2 2 ) ( 1 10. Let f be a piecewise smooth function on R that vanishes outside some finite interval. Show that 1 ) ( = − ∑ ∞ −∞ = m m x f (i.e. we can partition unity with the 1translates of f) if and only if ⎩ ⎨ ⎧ ± ± = = = ,... 2 , 1 k k 1 ) ( for for k F Total : 10 pts (1 point each)...
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This note was uploaded on 05/05/2010 for the course MATH 464 taught by Professor Staff during the Spring '08 term at Maryland.
 Spring '08
 staff
 matlab

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