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How to calculate product of two arrays in O(nlogn) ?

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I have 3 arrays:
u = randn(n,1);
w = randn(m,1);
T = toeplitz( u(m:n), u(m:-1:1) );
m,n follow this restriction: m <= n <= 2^24. How can I calculate y = T*w in O(nlogn) ?

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