Dony
Reputation
341
Top tag
Next privilege 500 Rep.
Access review queues
 Apr12 comment inserting absolute value in Hilbert transform and a discrete version of Hilbert transform In the paper you mentioned, the authors only said "the discrete Hilbert transform is bounded" without giving a proof. Mar26 comment evaluating $\int_0^{k!}e^{i\frac{t^k}{k!}} dt$ @Dr.MV The exercise says so. You see that the upper limit of the integral and the coefficient of $x^k$ match. I suspect that there should be some nice cancellation going on. Mar26 awarded Investor Mar25 comment evaluating $\int_0^{k!}e^{i\frac{t^k}{k!}} dt$ @Dr.MV Sorry for my late reply and thank you for your answer. I got this question from an exercise in a textbook and it seems to me the integral should depend linearly on $k$. Mar12 asked evaluating $\int_0^{k!}e^{i\frac{t^k}{k!}} dt$ Mar3 comment quadratic Gauss sum over a power of 2 @Elaqqad For any $a$ and $b$? Mar2 asked quadratic Gauss sum over a power of 2 Feb24 comment $\|f\|_2\le\|f\|_4^{\frac{2}{3}}\|f\|_1^{\frac{1}{3}}$ OK. So this should be a lemma for the RT interpolation theorem, not a consequence of it? Feb23 asked $\|f\|_2\le\|f\|_4^{\frac{2}{3}}\|f\|_1^{\frac{1}{3}}$ Feb22 asked an inequality in Banach algebra Feb21 accepted construction of a curve connecting two points Feb21 comment construction of a curve connecting two points I can see your idea behind the construction. But does it guarantee that $p$ is increasing? Feb11 comment uniform bound for sine integral function @DavideMarano Here $a>0$. So the fact the integrand is odd is not helpful. Feb11 comment uniform bound for sine integral function Did you mean $a=0, b=\pi$? The function is odd. Feb11 awarded Yearling Feb10 asked uniform bound for sine integral function Feb10 asked construction of a curve connecting two points Feb10 asked an inequality on convolution Feb10 comment Is $C_c$ dense in $L_p$ for \$0