Question

Understanding Stein's proof for Fubini's Theorem on functions of moderate decrease

score 530 · Answer 1 · 2026-04-12 00:31:22

530

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Understanding Stein's proof for Fubini's Theorem on functions of moderate decrease

Published on 12 Apr 2026 - 0:31

score 1.6k · Answer 2 · 2026-04-13 17:36:09

1.6k

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Fourier transform in polar coordinates on a finite range

Published on 13 Apr 2026 - 17:36

score 303 · Answer 3 · 2026-04-12 00:43:23

303

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Integral minimization

Published on 12 Apr 2026 - 0:43

score 47 · Answer 4 · 2026-04-12 13:29:20

47

Views

Bounding an integral of a function with its Fourier coefficients

Published on 12 Apr 2026 - 13:29

score 1.2k · Answer 5 · 2026-04-14 19:09:41

1.2k

Views

Show that $\{a \log n \}$ is not equidistributed for any $a$

Published on 14 Apr 2026 - 19:09

score 366 · Answer 6 · 2026-04-13 19:53:23

366

Views

How to show that if $f$ is rapidly decreasing, we have $|f(x-y)|\le C_N/(1+|x|)^N$ when $|y|\le |x|/2$.

Published on 13 Apr 2026 - 19:53

score 138 · Answer 7 · 2026-04-14 09:17:53

138

Views

If $u(x,t)$ satisfies the heat equation then so does its conjugate.

Published on 14 Apr 2026 - 9:17

score 369 · Answer 8 · 2026-04-17 11:57:18

369

Views

Erroneous proof about the Gauss circle problem

Published on 17 Apr 2026 - 11:57

score 302 · Answer 9 · 2026-04-14 13:50:12

302

Views

Question about a step in Stein's proof that the Fourier transform of $-2\pi ixf(x)$ is $\frac{d}{d\xi} \hat{f}(\xi)$.

Published on 14 Apr 2026 - 13:50

score 29 · Answer 10 · 2026-04-13 09:40:13

29

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Extending the Pontryagin dual of $\mathbb{Z}/n\mathbb{Z}$ and $S^1$ to $\mathbb{R}$ and $S^1$

Published on 13 Apr 2026 - 9:40

score 413 · Answer 11 · 2026-04-10 20:54:55

413

Views

Convergence of sum involving Bessel function of the first kind

Published on 10 Apr 2026 - 20:54

score 130 · Answer 12 · 2026-04-17 14:45:46

130

Views

Show $\sum_{n=-\infty}^{\infty}e^{2\pi inx}\int_{-\infty}^{\infty}\frac{1}{y^2} e^{-2\pi iny}dy=\frac{\pi^2}{(\sin \pi x)^2}$

Published on 17 Apr 2026 - 14:45

score 77 · Answer 13 · 2026-04-14 07:05:08

77

Views

Fourier Serie of a function defined by parts

Published on 14 Apr 2026 - 7:05

score 60 · Answer 14 · 2026-04-13 07:22:54

60

Views

Fourier series convergence in $L^2(-\pi,\pi)$

Published on 13 Apr 2026 - 7:22

score 106 · Answer 15 · 2026-04-10 12:35:08

106

Views

Why does harmonic analysis give a series on the circle, but an integral over the line?

Published on 10 Apr 2026 - 12:35

List Question

Understanding Stein's proof for Fubini's Theorem on functions of moderate decrease

Fourier transform in polar coordinates on a finite range

Integral minimization

Bounding an integral of a function with its Fourier coefficients

Show that $\{a \log n \}$ is not equidistributed for any $a$

How to show that if $f$ is rapidly decreasing, we have $|f(x-y)|\le C_N/(1+|x|)^N$ when $|y|\le |x|/2$.

If $u(x,t)$ satisfies the heat equation then so does its conjugate.

Erroneous proof about the Gauss circle problem

Question about a step in Stein's proof that the Fourier transform of $-2\pi ixf(x)$ is $\frac{d}{d\xi} \hat{f}(\xi)$.

Extending the Pontryagin dual of $\mathbb{Z}/n\mathbb{Z}$ and $S^1$ to $\mathbb{R}$ and $S^1$

Convergence of sum involving Bessel function of the first kind

Show $\sum_{n=-\infty}^{\infty}e^{2\pi inx}\int_{-\infty}^{\infty}\frac{1}{y^2} e^{-2\pi iny}dy=\frac{\pi^2}{(\sin \pi x)^2}$

Fourier Serie of a function defined by parts

Fourier series convergence in $L^2(-\pi,\pi)$

Why does harmonic analysis give a series on the circle, but an integral over the line?

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