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  • 0 posts edited
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  • 15 votes cast
May
15
asked number of distinct numbers of the form $e(k^2(4a)^{-1})$
May
9
comment an inequality on convolution
BTW, do you think it is possible to use $(1+|x-y|)^{-1}\le (1+|y|)(1+|x|)^{-1}$ to give a proof for $-N$ decay?
May
8
comment an inequality on convolution
Thank you. In fact what I really meant in my question was $-N$, not $N$
May
8
accepted an inequality on convolution
Apr
12
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.
Mar
26
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.
Mar
26
awarded  Investor
Mar
25
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 $k$.
Mar
12
asked evaluating $\int_0^{k!}e^{i\frac{t^k}{k!}} dt$
Mar
3
comment quadratic Gauss sum over a power of 2
@Elaqqad For any $a$ and $b$?
Mar
2
asked quadratic Gauss sum over a power of 2
Feb
24
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?
Feb
23
asked $\|f\|_2\le\|f\|_4^{\frac{2}{3}}\|f\|_1^{\frac{1}{3}}$
Feb
22
asked an inequality in Banach algebra
Feb
21
accepted construction of a curve connecting two points
Feb
21
comment construction of a curve connecting two points
I can see your idea behind the construction. But does it guarantee that $p$ is increasing?
Feb
11
comment uniform bound for sine integral function
@DavideMarano Here $a>0$. So the fact the integrand is odd is not helpful.
Feb
11
comment uniform bound for sine integral function
Did you mean $a=0, b=\pi$? The function is odd.
Feb
11
awarded  Yearling
Feb
10
asked uniform bound for sine integral function