Question

$\|fg\|_{A (\mathbb T)} \leq C \|f\|_{L^{2}} \|g\|_{A (\mathbb T)}$?

score 121 · Answer 1 · 2026-04-17 12:22:47

121

Views

$\|fg\|_{A (\mathbb T)} \leq C \|f\|_{L^{2}} \|g\|_{A (\mathbb T)}$?

Published on 17 Apr 2026 - 12:22

score 56 · Answer 2 · 2026-04-16 14:21:54

56

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FFT of kk matrix from FFT of a jj matrix

Published on 16 Apr 2026 - 14:21

score 75 · Answer 3 · 2026-04-17 19:02:16

75

Views

Can we expect $\|fg\|_{\mathcal{F}L^{1}} \leq C \|f\|_{L^{2}(\mathbb R)} \|g\|_{\mathcal{F}L^{1}}$?

Published on 17 Apr 2026 - 19:02

score 222 · Answer 4 · 2026-04-16 14:17:22

Solving $\int_{-\infty}^\infty f(\tau) {\operatorname{sinc}}\big({\tau}-\lambda\big) {\operatorname{sinc}}\big({\tau}-\nu\big)d\tau$.

score 659 · Answer 5 · 2026-04-10 11:53:13

659

Views

Fourier transform, circular symmetry

Published on 10 Apr 2026 - 11:53

score 99 · Answer 6 · 2026-04-11 02:12:32

99

Views

how do i find the fourier transform of the function $f_a(x)=e^{a|x|}$

Published on 11 Apr 2026 - 2:12

score 60 · Answer 7 · 2026-04-12 09:45:43

60

Views

ODE with finite Fourier expansion periodic coefficients

Published on 12 Apr 2026 - 9:45

score 441 · Answer 8 · 2026-05-02 14:56:20

441

Views

Asymptotic expansion of a Fourier Transform as $\omega\rightarrow 0$

Published on 02 May 2026 - 14:56

score 139 · Answer 9 · 2026-04-14 19:54:18

How do I show $\int_{-\infty}^\infty \frac 1{(a^2+s^2)(b^2+s^2)} ds=\frac {\pi}{ab(a+b)}$ using the solution to the following Fourier transform?

score 371 · Answer 10 · 2026-04-08 21:08:35

371

Views

Estimating an integral using the Poisson summation formula

Published on 08 Apr 2026 - 21:08

score 113 · Answer 11 · 2026-04-17 03:01:48

113

Views

$\|(g\widehat{(f|f|^{2})})^{\vee}\|_{L^{2}} \leq C \|f\|_{L^{2}}^{r} \|(g\hat{f})^{\vee}\|_{L^{2}}$ for some $r\geq 1$?

Published on 17 Apr 2026 - 3:01

score 3.9k · Answer 12 · 2026-04-15 08:29:17

3.9k

Views

Integral using Parseval's Theorem

Published on 15 Apr 2026 - 8:29

score 93 · Answer 13 · 2026-04-13 02:09:27

93

Views

I would like to find a generalization of the plane wave expansion to Hankel functions.

Published on 13 Apr 2026 - 2:09

score 467 · Answer 14 · 2026-04-08 23:15:20

467

Views

How to calculate convolution integral?

Published on 08 Apr 2026 - 23:15

score 320 · Answer 15 · 2026-04-08 11:54:44

320

Views

Application of Plancherel/Parseval

Published on 08 Apr 2026 - 11:54

List Question

$\|fg\|_{A (\mathbb T)} \leq C \|f\|_{L^{2}} \|g\|_{A (\mathbb T)}$?

FFT of kk matrix from FFT of a jj matrix

Can we expect $\|fg\|_{\mathcal{F}L^{1}} \leq C \|f\|_{L^{2}(\mathbb R)} \|g\|_{\mathcal{F}L^{1}}$?

Solving $\int_{-\infty}^\infty f(\tau) {\operatorname{sinc}}\big({\tau}-\lambda\big) {\operatorname{sinc}}\big({\tau}-\nu\big)d\tau$.

Fourier transform, circular symmetry

how do i find the fourier transform of the function $f_a(x)=e^{a|x|}$

ODE with finite Fourier expansion periodic coefficients

Asymptotic expansion of a Fourier Transform as $\omega\rightarrow 0$

How do I show $\int_{-\infty}^\infty \frac 1{(a^2+s^2)(b^2+s^2)} ds=\frac {\pi}{ab(a+b)}$ using the solution to the following Fourier transform?

Estimating an integral using the Poisson summation formula

$\|(g\widehat{(f|f|^{2})})^{\vee}\|_{L^{2}} \leq C \|f\|_{L^{2}}^{r} \|(g\hat{f})^{\vee}\|_{L^{2}}$ for some $r\geq 1$?

Integral using Parseval's Theorem

I would like to find a generalization of the plane wave expansion to Hankel functions.

How to calculate convolution integral?

Application of Plancherel/Parseval

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