bpet
Aug14-11, 03:13 AM
Given
f(t) = \sum_{k=1}^n p_k e^{itx_k}
where the p_k are non-negative and sum to 1 and the x_k are arbitrary real numbers, is there an efficient way to find (or nontrivially bound) the regions in a\le t\le b where
|f(t)| \ge 1-\epsilon
for a given small number \epsilon>0 ?
f(t) = \sum_{k=1}^n p_k e^{itx_k}
where the p_k are non-negative and sum to 1 and the x_k are arbitrary real numbers, is there an efficient way to find (or nontrivially bound) the regions in a\le t\le b where
|f(t)| \ge 1-\epsilon
for a given small number \epsilon>0 ?