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 Apr20 awarded Nice Question Apr12 comment Estimating an integral using the Poisson summation formula It's $\sum_{|m| \leq j}f(m)$ in the end, right? Apr11 accepted Estimating an integral using the Poisson summation formula Apr8 asked Estimating an integral using the Poisson summation formula Mar15 comment About a generalization of the Riemann-Lebesgue lemma I've edited the question. Mar15 revised About a generalization of the Riemann-Lebesgue lemma deleted 59 characters in body Mar15 comment About a generalization of the Riemann-Lebesgue lemma PhoemueX, I'm sorry, you're right. I'm trying to replace my first assumption. Yes, it turns out that the Lebesgue differentiation theorem solves the problem. g belongs to $L^1_{loc}$ then, when we take the limit, $g(x)$ will be bounded by M. I can just replace the two assumptions and the result will still hold :) thanks! Mar15 asked About a generalization of the Riemann-Lebesgue lemma Jan21 awarded Yearling Sep23 awarded Notable Question Jul2 awarded Curious Apr24 awarded Popular Question Mar26 asked Diffeomorphism/Problem/Euclidean spaces Feb19 accepted Hilbert-Schmidt norm/smooth manifolds Feb16 revised Hilbert-Schmidt norm/smooth manifolds edited tags Feb15 revised Hilbert-Schmidt norm/smooth manifolds added 4 characters in body Feb15 comment Hilbert-Schmidt norm/smooth manifolds Yes, sorry, I forgot to mention that. I'll edit the text. Feb15 asked Hilbert-Schmidt norm/smooth manifolds Oct14 awarded Popular Question Sep27 comment Surface orientation Yes, the bases are orthonormal. I corrected that :) Thanks. This problem can be found on Montiel, Curves and Surfaces, page 76.